1137 = 3 x 379.
1137 is the maximum value of n so that there exist seven denominations of stamps so that every postage from 1 to n can be paid for with at most seven stamps (postage stamp problem). It is also the solution to the postage stamp problem for n denominations and seven stamps, for n = 7.
1137 in base 2 (binary) is palindromic: 10001110001.
1137 is 696 in base 13 and 393 in base 18.
Atlantic Records 1957 release 45-1137 featured "Rakin and Scrapin" by Dean Beard and the Crew Cats.