137584613 has 4 divisors (see below), whose sum is σ = 142328940. Its totient is φ = 132840288.

The previous prime is 137584609. The next prime is 137584627. The reversal of 137584613 is 316485731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 316485731 = 103 ⋅3072677.

It can be written as a sum of positive squares in 2 ways, for example, as 40424164 + 97160449 = 6358^2 + 9857^2 .

It is a cyclic number.

It is not a de Polignac number, because 137584613 - 2² = 137584609 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 (137584673) 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, 2372120 + ... + 2372177.

It is an arithmetic number, because the mean of its divisors is an integer number (35582235).

Almost surely, 2^137584613 is an apocalyptic number.

It is an amenable number.

137584613 is a deficient number, since it is larger than the sum of its proper divisors (4744327).

137584613 is an equidigital number, since it uses as much as digits as its factorization.

137584613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744326.

The product of its digits is 60480, while the sum is 38.

The square root of 137584613 is about 11729.6467551244. The cubic root of 137584613 is about 516.2459079188.

The spelling of 137584613 in words is "one hundred thirty-seven million, five hundred eighty-four thousand, six hundred thirteen".