137513013160 has 64 divisors (see below), whose sum is σ = 322906208400. Its totient is φ = 52638437376.

The previous prime is 137513013101. The next prime is 137513013161. The reversal of 137513013160 is 61310315731.

It can be written as a sum of positive squares in 8 ways, for example, as 40135314244 + 97377698916 = 200338^2 + 312054^2 .

It is not an unprimeable number, because it can be changed into a prime (137513013161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393459 + ... + 655618.

Almost surely, 2^137513013160 is an apocalyptic number.

137513013160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137513013160 is an abundant number, since it is smaller than the sum of its proper divisors (185393195240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137513013160 is a wasteful number, since it uses less digits than its factorization.

137513013160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049230 (or 1049226 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

Adding to 137513013160 its reverse (61310315731), we get a palindrome (198823328891).

The spelling of 137513013160 in words is "one hundred thirty-seven billion, five hundred thirteen million, thirteen thousand, one hundred sixty".