137537881321 has 27 divisors (see below), whose sum is σ = 147262536183. Its totient is φ = 128436581520.

The previous prime is 137537881307. The next prime is 137537881337. The reversal of 137537881321 is 123188735731.

The square root of 137537881321 is 370861.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16113509721 + 121424371600 = 126939^2 + 348460^2 .

It is a de Polignac number, because none of the positive numbers 2^k-137537881321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137537881121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 923072955 + ... + 923073103.

Almost surely, 2^137537881321 is an apocalyptic number.

137537881321 is the 370861-st square number.

137537881321 is the 185431-st centered octagonal number.

It is an amenable number.

137537881321 is a deficient number, since it is larger than the sum of its proper divisors (9724654862).

137537881321 is an frugal number, since it uses more digits than its factorization.

137537881321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

Multiplying 137537881321 by its sum of digits (49), we get a square (6739356184729 = 2596027²).

The spelling of 137537881321 in words is "one hundred thirty-seven billion, five hundred thirty-seven million, eight hundred eighty-one thousand, three hundred twenty-one".