137513613 has 32 divisors (see below), whose sum is σ = 195858432. Its totient is φ = 85680000.

The previous prime is 137513611. The next prime is 137513657. The reversal of 137513613 is 316315731.

It is not a de Polignac number, because 137513613 - 2¹ = 137513611 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 (137513611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547738 + ... + 547988.

It is an arithmetic number, because the mean of its divisors is an integer number (6120576).

Almost surely, 2^137513613 is an apocalyptic number.

It is an amenable number.

137513613 is a deficient number, since it is larger than the sum of its proper divisors (58344819).

137513613 is a wasteful number, since it uses less digits than its factorization.

137513613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

The product of its digits is 5670, while the sum is 30.

The square root of 137513613 is about 11726.6198454627. The cubic root of 137513613 is about 516.1570904136.

It can be divided in two parts, 13 and 7513613, that added together give a triangular number (7513626 = T₃₈₇₆).

The spelling of 137513613 in words is "one hundred thirty-seven million, five hundred thirteen thousand, six hundred thirteen".