137570013 has 48 divisors (see below), whose sum is σ = 240489600. Its totient is φ = 74027520.

The previous prime is 137570003. The next prime is 137570021. The reversal of 137570013 is 310075731.

137570013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137570013 - 2⁵ = 137569981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137570003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336153 + ... + 336561.

It is an arithmetic number, because the mean of its divisors is an integer number (5010200).

Almost surely, 2^137570013 is an apocalyptic number.

It is an amenable number.

137570013 is a deficient number, since it is larger than the sum of its proper divisors (102919587).

137570013 is a wasteful number, since it uses less digits than its factorization.

137570013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 137570013 is about 11729.0243839801. The cubic root of 137570013 is about 516.2276465335.

The spelling of 137570013 in words is "one hundred thirty-seven million, five hundred seventy thousand, thirteen".