137321613 has 24 divisors (see below), whose sum is σ = 233032800. Its totient is φ = 76822560.

The previous prime is 137321593. The next prime is 137321617. The reversal of 137321613 is 316123731.

137321613 is a `hidden beast` number, since 13 + 7 + 32 + 1 + 613 = 666.

137321613 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 137321613 - 2⁵ = 137321581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137321617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52063 + ... + 54636.

It is an arithmetic number, because the mean of its divisors is an integer number (9709700).

Almost surely, 2^137321613 is an apocalyptic number.

137321613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137321613 is a deficient number, since it is larger than the sum of its proper divisors (95711187).

137321613 is a wasteful number, since it uses less digits than its factorization.

137321613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106729 (or 106726 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 137321613 is about 11718.4304836441. The cubic root of 137321613 is about 515.9167546437.

The spelling of 137321613 in words is "one hundred thirty-seven million, three hundred twenty-one thousand, six hundred thirteen".