137590013 has 16 divisors (see below), whose sum is σ = 156050496. Its totient is φ = 120205440.

The previous prime is 137589989. The next prime is 137590021. The reversal of 137590013 is 310095731.

It is a cyclic number.

It is not a de Polignac number, because 137590013 - 2⁸ = 137589757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137590073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31745 + ... + 35817.

It is an arithmetic number, because the mean of its divisors is an integer number (9753156).

Almost surely, 2^137590013 is an apocalyptic number.

It is an amenable number.

137590013 is a deficient number, since it is larger than the sum of its proper divisors (18460483).

137590013 is a wasteful number, since it uses less digits than its factorization.

137590013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204.

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 137590013 is about 11729.8769388259. The cubic root of 137590013 is about 516.2526618025.

The spelling of 137590013 in words is "one hundred thirty-seven million, five hundred ninety thousand, thirteen".