There are a lot of questions that would influence my answer.
For example: Who did the calculation? Do you trust them to have calculated the lumpsum as a fair representation of the payments?
Who is carrying the death, disability and unemployment risk? In particular, if your ex-husband dies or becomes unable to work, who will continue to make the payments? What if he married in the meantime and his new wife fights the settlement due from his estate? (Happened to someone I know. She won eventually but had a very hard time for years until the money was released.)
How large an amount are we talking about? Can you survive on 1% of the amount per year? For example, if the lumpsum is USD 10m, then hire a wealth manager to invest it and have yourself paid 1% a year, in this case USD 100k a year, or USD 8.3k a month. The invested lumpsum will increase with inflation and so your 1% will also increase each year. This setup will allow you to live off the lumpsum indefinitely.
Based on the limited information you provided I assume the amount isn't that big, in which case I would advise that the monthly amounts are paid via an annuity purchased in your name from a life insurance company.
This solution has a number of advantages:
1) The insurance company will calculate the lumpsum (which would be the price of the annuity)
2) You aren't subject to any risk from your ex-husband's life
3) If this is payable for life, the life insurance company takes on the risk that you become very old and run out of money.
You will have the risk that the insurer goes bankrupt but provided you select a reputable, well-funded company that's been around a long time, the risk is relatively low - life insurance companies are heavily regulated. Also, you would get some money back from a bankruptcy. Many annuity products also pay back part of the annuity price if you die within the first few years, so in that case there should be something to inherit for anyone you leave behind.