137312560 has 80 divisors (see below), whose sum is σ = 398045952. Its totient is φ = 42796800.

The previous prime is 137312551. The next prime is 137312597. The reversal of 137312560 is 65213731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4986 + ... + 17305.

Almost surely, 2^137312560 is an apocalyptic number.

137312560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137312560 is an abundant number, since it is smaller than the sum of its proper divisors (260733392).

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

137312560 is a wasteful number, since it uses less digits than its factorization.

137312560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22322 (or 22316 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 137312560 is about 11718.0442054124. The cubic root of 137312560 is about 515.9054170329.

The spelling of 137312560 in words is "one hundred thirty-seven million, three hundred twelve thousand, five hundred sixty".