137415613 has 2 divisors, whose sum is σ = 137415614. Its totient is φ = 137415612.

The previous prime is 137415611. The next prime is 137415617. The reversal of 137415613 is 316514731.

137415613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124144164 + 13271449 = 11142^2 + 3643^2 .

It is a cyclic number.

It is not a de Polignac number, because 137415613 - 2¹ = 137415611 is a prime.

Together with 137415611, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137415611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68707806 + 68707807.

It is an arithmetic number, because the mean of its divisors is an integer number (68707807).

Almost surely, 2^137415613 is an apocalyptic number.

It is an amenable number.

137415613 is a deficient number, since it is larger than the sum of its proper divisors (1).

137415613 is an equidigital number, since it uses as much as digits as its factorization.

137415613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 31.

The square root of 137415613 is about 11722.4405735325. The cubic root of 137415613 is about 516.0344470023.

The spelling of 137415613 in words is "one hundred thirty-seven million, four hundred fifteen thousand, six hundred thirteen".