137617013 has 4 divisors (see below), whose sum is σ = 137737728. Its totient is φ = 137496300.

The previous prime is 137617009. The next prime is 137617061. The reversal of 137617013 is 310716731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 310716731 = 13 ⋅23901287.

It is a cyclic number.

It is not a de Polignac number, because 137617013 - 2² = 137617009 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 (137617003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58631 + ... + 60932.

It is an arithmetic number, because the mean of its divisors is an integer number (34434432).

Almost surely, 2^137617013 is an apocalyptic number.

It is an amenable number.

137617013 is a deficient number, since it is larger than the sum of its proper divisors (120715).

137617013 is a wasteful number, since it uses less digits than its factorization.

137617013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120714.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 137617013 is about 11731.0277895843. The cubic root of 137617013 is about 516.2864285707.

The spelling of 137617013 in words is "one hundred thirty-seven million, six hundred seventeen thousand, thirteen".