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Pricing Supplement No. 9,137

Registration Statement Nos. 333-275587; 333-275587-01

Dated June 30, 2025

Filed pursuant to Rule 424(b)(2)

Morgan Stanley Finance LLC

Structured Investments

Dual Directional Trigger PLUS due July 5, 2030

Based on the Worst Performing of the S&P 500® Index and the Nasdaq-100 Index®‬

Trigger Performance Leveraged Upside SecuritiesSM

Fully and Unconditionally Guaranteed by Morgan Stanley

Principal at Risk Securities

￭The Dual Directional Trigger PLUS (the “securities”) are unsecured obligations of Morgan Stanley Finance LLC (“MSFL”) and are fully and unconditionally guaranteed by Morgan Stanley. The securities will pay no interest, do not guarantee any return of principal at maturity and have the terms described in the accompanying product supplement, index supplement and prospectus, as supplemented or modified by this document.

￭Payment at maturity. At maturity, if the final level of each underlier is greater than its initial level, investors will receive the stated principal amount plus the leveraged upside payment. If the final level of either underlier is equal to or less than its initial level but the final level of each underlier is greater than or equal to its barrier level, investors will receive at maturity the stated principal amount plus a positive return equal to (i) the absolute value of the percentage decline in the level of the worst performing underlier multiplied by (ii) the absolute return participation rate. If the final level of either underlier is less than the barrier level but the final level of each underlier is greater than or equal to its downside threshold level, investors will receive at maturity the stated principal amount. If, however, the final level of either underlier is less than its downside threshold level, investors will lose 1% for every 1% decline in the level of the worst performing underlier over the term of the securities. Under these circumstances, the payment at maturity will be significantly less than the stated principal amount and could be zero.

￭The value of the securities is based on the worst performing underlier. The fact that the securities are linked to more than one underlier does not provide any asset diversification benefits and instead means that a decline in the level of either underlier beyond its downside threshold level will adversely affect your return on the securities, even if the other underlier has appreciated or has not declined as much.

￭The securities are for investors who seek a return based on the performance of the worst performing underlier and who are willing to risk their principal and forgo current income in exchange for the upside leverage feature as well as the absolute return participation feature and the limited protection against loss of principal, each of which applies only to a certain range of negative performance of the worst performing underlier over the term of the securities. Investors in the securities must be willing to accept the risk of losing their entire initial investment based on the performance of either underlier. The securities are notes issued as part of MSFL’s Series A Global Medium-Term Notes program.

￭All payments are subject to our credit risk. If we default on our obligations, you could lose some or all of your investment. These securities are not secured obligations and you will not have any security interest in, or otherwise have any access to, any underlying reference asset or assets.

(1)The securities will be sold only to investors purchasing the securities in fee-based advisory accounts.

(2)MS & Co. expects to sell all of the securities that it purchases from us to an unaffiliated dealer at a price of $992.50 per security, for further sale to certain fee-based advisory accounts at the price to public of $1,000 per security. MS & Co. will not receive a sales commission with respect to the securities. See “Supplemental information regarding plan of distribution; conflicts of interest.” For additional information, see “Plan of Distribution (Conflicts of Interest)” in the accompanying product supplement.

(3)See “Use of Proceeds and Hedging” in the accompanying product supplement.

The securities involve risks not associated with an investment in ordinary debt securities. See “Risk Factors” beginning on page 6.

The Securities and Exchange Commission and state securities regulators have not approved or disapproved these securities, or determined if this document or the accompanying product supplement, index supplement and prospectus is truthful or complete. Any representation to the contrary is a criminal offense.

The securities are not deposits or savings accounts and are not insured by the Federal Deposit Insurance Corporation or any other governmental agency or instrumentality, nor are they obligations of, or guaranteed by, a bank.

You should read this document together with the related product supplement, index supplement and prospectus, each of which can be accessed via the hyperlinks below. When you read the accompanying index supplement, please note that all references in such supplement to the prospectus dated November 16, 2023, or to any sections therein, should refer instead to the accompanying prospectus dated April 12, 2024 or to the corresponding sections of such prospectus, as applicable. Please also see “Additional Terms of the Securities” and “Additional Information About the Securities” at the end of this document.

References to “we,” “us” and “our” refer to Morgan Stanley or MSFL, or Morgan Stanley and MSFL collectively, as the context requires.

Product Supplement for Principal at Risk Securities dated February 7, 2025 Index Supplement dated November 16, 2023 Prospectus dated April 12, 2024

Morgan Stanley Finance LLC

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Estimated Value of the Securities

The original issue price of each security is $1,000. This price includes costs associated with issuing, selling, structuring and hedging the securities, which are borne by you, and, consequently, the estimated value of the securities on the pricing date is less than $1,000. Our estimate of the value of the securities as determined on the pricing date is set forth on the cover of this document.

What goes into the estimated value on the pricing date?

In valuing the securities on the pricing date, we take into account that the securities comprise both a debt component and a performance-based component linked to the underliers. The estimated value of the securities is determined using our own pricing and valuation models, market inputs and assumptions relating to the underliers, instruments based on the underliers, volatility and other factors including current and expected interest rates, as well as an interest rate related to our secondary market credit spread, which is the implied interest rate at which our conventional fixed rate debt trades in the secondary market.

What determines the economic terms of the securities?

In determining the economic terms of the securities, we use an internal funding rate, which is likely to be lower than our secondary market credit spreads and therefore advantageous to us. If the issuing, selling, structuring and hedging costs borne by you were lower or if the internal funding rate were higher, one or more of the economic terms of the securities would be more favorable to you.

What is the relationship between the estimated value on the pricing date and the secondary market price of the securities?

The price at which MS & Co. purchases the securities in the secondary market, absent changes in market conditions, including those related to the underliers, may vary from, and be lower than, the estimated value on the pricing date, because the secondary market price takes into account our secondary market credit spread as well as the bid-offer spread that MS & Co. would charge in a secondary market transaction of this type and other factors. However, because the costs associated with issuing, selling, structuring and hedging the securities are not fully deducted upon issuance, to the extent that MS & Co. may buy or sell the securities in the secondary market during the amortization period specified herein, absent changes in market conditions, including those related to the underliers, and to our secondary market credit spreads, it would do so based on values higher than the estimated value. We expect that those higher values will also be reflected in your brokerage account statements.

MS & Co. may, but is not obligated to, make a market in the securities, and, if it once chooses to make a market, may cease doing so at any time.

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Hypothetical Examples

Hypothetical Payoff Diagram 

The payment at maturity will be based solely on the performance of the worst performing underlier, which could be either underlier. The payoff diagram below illustrates the payment at maturity for a range of hypothetical performances of the worst performing underlier over the term of the securities, based on the following terms:

￭Upside Scenario. If the final level of the worst performing underlier is greater than its initial level, investors will receive the stated principal amount plus 108% of the appreciation of the worst performing underlier over the term of the securities.

oIf the worst performing underlier appreciates 10%, investors will receive $1,108‬ per security, or 108% of the stated principal amount.

￭Absolute Return Participation Scenario. If the final level of the worst performing underlier is equal to or less than its initial level but is greater than or equal to its barrier level, investors will receive the stated principal amount plus a positive return equal to (i) the absolute value of the percentage decline in the level of the worst performing underlier multiplied by (ii) the absolute return participation rate. Under these circumstances, the payment at maturity will effectively be limited to a positive return of 25% per security.

oIf the worst performing underlier depreciates 10%, investors will receive $1,100 per security, or 110% of the stated principal amount.

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￭Par Scenario. If the final level of the worst performing underlier is less than its barrier level but is greater than or equal to its downside threshold level, investors will receive the stated principal amount.

oIf the underlier depreciates 30%, investors will receive $1,000 per security, or 100% of the stated principal amount.

￭Downside Scenario. If the final level of the worst performing underlier is less than its downside threshold level, investors will receive an amount that is significantly less than the stated principal amount, based on a 1% loss of principal for each 1% decline in the level of the worst performing underlier. There is no minimum payment at maturity, and investors could lose their entire initial investment in the securities.

oIf the worst performing underlier depreciates 85%, investors will lose 85% of their principal and receive only $150 per security at maturity, or 15% of the stated principal amount.

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Risk Factors

This section describes the material risks relating to the securities. For further discussion of these and other risks, you should read the section entitled “Risk Factors” in the accompanying product supplement and prospectus. We also urge you to consult with your investment, legal, tax, accounting and other advisers in connection with your investment in the securities.

Risks Relating to an Investment in the Securities

￭The securities do not guarantee the return of any principal and do not pay interest. The terms of the securities differ from those of ordinary debt securities in that they do not guarantee the repayment of any principal and do not pay interest. If the final level of either underlier is less than its downside threshold level, the payout at maturity will be an amount in cash that is significantly less than the stated principal amount of each security, and you will lose an amount proportionate to the full decline in the level of the worst performing underlier over the term of the securities. There is no minimum payment at maturity on the securities, and, accordingly, you could lose your entire initial investment in the securities.

￭Any positive return on the securities that is based on the depreciation of the worst performing underlier is effectively capped. Any positive return on the securities that is based on the depreciation of the worst performing underlier will be capped, because the absolute return participation feature is operative only if the level of the worst performing underlier has not declined below its barrier level on the observation date. Any decline in the level of the worst performing underlier beyond its barrier level will result in no positive return beyond your initial investment in the securities, and any decline in the worst performing underlier beyond its downside threshold level will result in a significant loss, rather than a positive return, on your initial investment in the securities.

￭The amount payable on the securities is not linked to the values of the underliers at any time other than the observation date. The final levels will be based on the closing levels of the underliers on the observation date, subject to postponement for non-trading days and certain market disruption events. Even if the value of each underlier appreciates prior to the observation date but then the value of either underlier drops by the observation date, the payment at maturity may be significantly less than it would have been had the payment at maturity been linked to the values of the underliers prior to such drop. Although the actual values of the underliers on the stated maturity date or at other times during the term of the securities may be higher than their respective closing levels on the observation date, the payment at maturity will be based solely on the closing levels of the underliers on the observation date.

￭The market price of the securities may be influenced by many unpredictable factors. Several factors, many of which are beyond our control, will influence the value of the securities in the secondary market and the price at which MS & Co. may be willing to purchase or sell the securities in the secondary market. We expect that generally the value of each underlier at any time will affect the value of the securities more than any other single factor. Other factors that may influence the value of the securities include:

othe volatility (frequency and magnitude of changes in value) of the underliers;

ointerest and yield rates in the market;

othe level of correlation between the underliers;

ogeopolitical conditions and economic, financial, political, regulatory or judicial events that affect the underliers or equity markets generally;

othe availability of comparable instruments;

othe composition of each underlier and changes in the component securities of each underlier;

othe time remaining until the securities mature; and

oany actual or anticipated changes in our credit ratings or credit spreads.

Some or all of these factors will influence the price that you will receive if you sell your securities prior to maturity. Generally, the longer the time remaining to maturity, the more the market price of the securities will be affected by the other factors described above. For example, you may have to sell your securities at a substantial discount from the stated principal amount if, at the time of sale, the closing level of either underlier is at, below or not sufficiently above its downside threshold level, or if market interest rates rise.

You can review the historical closing levels of the underliers in the section of this document called “Historical Information.” You cannot predict the future performance of an underlier based on its historical performance. The values of the underliers may be, and have recently been, volatile, and we can give you no assurance that the volatility will lessen. There can be no assurance that the final level of each underlier will be greater than or equal to its downside threshold level so that you do not suffer a significant loss on your initial investment in the securities.

￭The securities are subject to our credit risk, and any actual or anticipated changes to our credit ratings or credit spreads may adversely affect the market value of the securities. You are dependent on our ability to pay all amounts due on the

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securities, and, therefore, you are subject to our credit risk. The securities are not guaranteed by any other entity. If we default on our obligations under the securities, your investment would be at risk and you could lose some or all of your investment. As a result, the market value of the securities prior to maturity will be affected by changes in the market’s view of our creditworthiness. Any actual or anticipated decline in our credit ratings or increase in the credit spreads charged by the market for taking our credit risk is likely to adversely affect the market value of the securities.

￭As a finance subsidiary, MSFL has no independent operations and will have no independent assets. As a finance subsidiary, MSFL has no independent operations beyond the issuance and administration of its securities and will have no independent assets available for distributions to holders of MSFL securities if they make claims in respect of such securities in a bankruptcy, resolution or similar proceeding. Accordingly, any recoveries by such holders will be limited to those available under the related guarantee by Morgan Stanley and that guarantee will rank pari passu with all other unsecured, unsubordinated obligations of Morgan Stanley. Holders will have recourse only to a single claim against Morgan Stanley and its assets under the guarantee. Holders of securities issued by MSFL should accordingly assume that in any such proceedings they would not have any priority over and should be treated pari passu with the claims of other unsecured, unsubordinated creditors of Morgan Stanley, including holders of Morgan Stanley-issued securities.

￭The rate we are willing to pay for securities of this type, maturity and issuance size is likely to be lower than the rate implied by our secondary market credit spreads and advantageous to us. Both the lower rate and the inclusion of costs associated with issuing, selling, structuring and hedging the securities in the original issue price reduce the economic terms of the securities, cause the estimated value of the securities to be less than the original issue price and will adversely affect secondary market prices. Assuming no change in market conditions or any other relevant factors, the prices, if any, at which dealers, including MS & Co., may be willing to purchase the securities in secondary market transactions will likely be significantly lower than the original issue price, because secondary market prices will exclude the issuing, selling, structuring and hedging-related costs that are included in the original issue price and borne by you and because the secondary market prices will reflect our secondary market credit spreads and the bid-offer spread that any dealer would charge in a secondary market transaction of this type as well as other factors.

The inclusion of the costs of issuing, selling, structuring and hedging the securities in the original issue price and the lower rate we are willing to pay as issuer make the economic terms of the securities less favorable to you than they otherwise would be.

However, because the costs associated with issuing, selling, structuring and hedging the securities are not fully deducted upon issuance, to the extent that MS & Co. may buy or sell the securities in the secondary market during the amortization period specified herein, absent changes in market conditions, including those related to the underliers, and to our secondary market credit spreads, it would do so based on values higher than the estimated value, and we expect that those higher values will also be reflected in your brokerage account statements.

￭The estimated value of the securities is determined by reference to our pricing and valuation models, which may differ from those of other dealers and is not a maximum or minimum secondary market price. These pricing and valuation models are proprietary and rely in part on subjective views of certain market inputs and certain assumptions about future events, which may prove to be incorrect. As a result, because there is no market-standard way to value these types of securities, our models may yield a higher estimated value of the securities than those generated by others, including other dealers in the market, if they attempted to value the securities. In addition, the estimated value on the pricing date does not represent a minimum or maximum price at which dealers, including MS & Co., would be willing to purchase your securities in the secondary market (if any exists) at any time. The value of your securities at any time after the date of this document will vary based on many factors that cannot be predicted with accuracy, including our creditworthiness and changes in market conditions. See also “The market price of the securities may be influenced by many unpredictable factors” above.

￭The securities will not be listed on any securities exchange and secondary trading may be limited. The securities will not be listed on any securities exchange. Therefore, there may be little or no secondary market for the securities. MS & Co. may, but is not obligated to, make a market in the securities and, if it once chooses to make a market, may cease doing so at any time. When it does make a market, it will generally do so for transactions of routine secondary market size at prices based on its estimate of the current value of the securities, taking into account its bid/offer spread, our credit spreads, market volatility, the notional size of the proposed sale, the cost of unwinding any related hedging positions, the time remaining to maturity and the likelihood that it will be able to resell the securities. Even if there is a secondary market, it may not provide enough liquidity to allow you to trade or sell the securities easily. Since other broker-dealers may not participate significantly in the secondary market for the securities, the price at which you may be able to trade your securities is likely to depend on the price, if any, at which MS & Co. is willing to transact. If, at any time, MS & Co. were to cease making a market in the securities, it is likely that there would be no secondary market for the securities. Accordingly, you should be willing to hold your securities to maturity.

￭As discussed in more detail in the accompanying product supplement, investing in the securities is not equivalent to investing in the underlier(s).

￭The U.S. federal income tax consequences of an investment in the securities are uncertain. There is no direct legal authority regarding the proper U.S. federal income tax treatment of the securities, and significant aspects of the tax treatment of the securities are uncertain. You should review carefully the section entitled “United States Federal Income Tax Considerations”

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herein, in combination with the section entitled “United States Federal Income Tax Considerations” in the accompanying product supplement, and consult your tax adviser regarding the U.S. federal income tax consequences of an investment in the securities.

Risks Relating to the Underlier(s)

￭Because your return on the securities will depend upon the performance of the underlier(s), the securities are subject to the following risk(s), as discussed in more detail in the accompanying product supplement.

oYou are exposed to the price risk of each underlier.

oBecause the securities are linked to the performance of the worst performing underlier, you are exposed to a greater risk of not receiving a positive return on the securities and/or sustaining a significant loss on your investment than if the securities were linked to just one underlier.

oAdjustments to an underlying index could adversely affect the value of the securities.

Risks Relating to Conflicts of Interest

In engaging in certain activities described below and as discussed in more detail in the accompanying product supplement, our affiliates may take actions that may adversely affect the value of and your return on the securities, and in so doing they will have no obligation to consider your interests as an investor in the securities.

￭The calculation agent, which is a subsidiary of Morgan Stanley and an affiliate of MSFL, will make determinations with respect to the securities. As calculation agent, MS & Co. will make any determinations necessary to calculate any payment(s) on the securities. Moreover, certain determinations made by MS & Co., in its capacity as calculation agent, may require it to exercise discretion and make subjective judgments, which may adversely affect your return on the securities. In addition, MS & Co. has determined the estimated value of the securities on the pricing date.

￭Hedging and trading activity by our affiliates could potentially adversely affect the value of the securities.

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Historical Information

S&P 500® Index Overview

Bloomberg Ticker Symbol: SPX

The S&P 500® Index is intended to provide a benchmark for performance measurement of the large capitalization segment of the U.S. equity markets by tracking the stock price movement of 500 companies with large market capitalizations. The underlying index publisher with respect to the S&P 500® Index is S&P® Dow Jones Indices LLC, or any successor thereof. Component stocks of the S&P 500® Index are required to have a total company level market capitalization that reflects approximately the 85th percentile of the S&P® Total Market Index. The S&P 500® Index measures the relative performance of the common stocks of 500 companies as of a particular time as compared to the performance of the common stocks of 500 similar companies during the base period of the years 1941 through 1943. For additional information about the S&P 500® Index, see the information set forth under “S&P® U.S. Indices—S&P 500® Index” in the accompanying index supplement.

The closing level of the SPX Index on June 30, 2025 was 6,204.95. The following graph sets forth the daily closing levels of the underlier for the period noted below. We obtained the historical information presented in this document from Bloomberg Financial Markets, without independent verification. The underlier has at times experienced periods of high volatility. You should not take the historical closing levels of the underlier as an indication of its future performance, and no assurance can be given as to the closing level of the underlier at any time.

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Nasdaq-100 Index® Overview

Bloomberg Ticker Symbol: NDX

The Nasdaq-100 Index® is a modified capitalization-weighted index of 100 of the largest and most actively traded equity securities of non-financial companies listed on The Nasdaq Stock Market LLC (the “Nasdaq”). The underlying index publisher with respect to the Nasdaq-100 Index® is Nasdaq, Inc., or any successor thereof. The Nasdaq-100 Index® includes companies across a variety of major industry groups. At any moment in time, the value of the Nasdaq-100 Index® equals the aggregate value of the then-current Nasdaq-100 Index® share weights of each of the Nasdaq-100 Index® component securities, which are based on the total shares outstanding of each such Nasdaq-100 Index® component security, multiplied by each such security’s respective last sale price on the Nasdaq (which may be the official closing price published by the Nasdaq), and divided by a scaling factor, which becomes the basis for the reported Nasdaq-100 Index® value. For additional information about the Nasdaq-100 Index®, see the information set forth under “Nasdaq-100 Index®” in the accompanying index supplement.

The closing level of the NDX Index on June 30, 2025 was 22,679.01. The following graph sets forth the daily closing levels of the underlier for the period noted below. We obtained the historical information presented in this document from Bloomberg Financial Markets, without independent verification. The underlier has at times experienced periods of high volatility. You should not take the historical closing levels of the underlier as an indication of its future performance, and no assurance can be given as to the closing level of the underlier at any time.

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Additional Terms of the Securities

Please read this information in conjunction with the terms on the cover of this document.

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Additional Information About the Securities

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