137531313 has 12 divisors (see below), whose sum is σ = 198872388. Its totient is φ = 91587840.

The previous prime is 137531299. The next prime is 137531327. The reversal of 137531313 is 313135731.

It is an interprime number because it is at equal distance from previous prime (137531299) and next prime (137531327).

It can be written as a sum of positive squares in 2 ways, for example, as 134026929 + 3504384 = 11577^2 + 1872^2 .

It is not a de Polignac number, because 137531313 - 2⁴ = 137531297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137531333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 973 + ... + 16613.

It is an arithmetic number, because the mean of its divisors is an integer number (16572699).

Almost surely, 2^137531313 is an apocalyptic number.

It is an amenable number.

137531313 is a deficient number, since it is larger than the sum of its proper divisors (61341075).

137531313 is a wasteful number, since it uses less digits than its factorization.

137531313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16624 (or 16621 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 137531313 is about 11727.3745143574. The cubic root of 137531313 is about 516.1792351026.

The spelling of 137531313 in words is "one hundred thirty-seven million, five hundred thirty-one thousand, three hundred thirteen".