137917413 has 24 divisors (see below), whose sum is σ = 213130008. Its totient is φ = 85635072.

The previous prime is 137917391. The next prime is 137917421. The reversal of 137917413 is 314719731.

137917413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9253764 + 128663649 = 3042^2 + 11343^2 .

It is not a de Polignac number, because 137917413 - 2¹² = 137913317 is a prime.

It is a super-2 number, since 2×137917413² = 38042425617225138, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137917613) 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, 10195 + ... + 19487.

It is an arithmetic number, because the mean of its divisors is an integer number (8880417).

Almost surely, 2^137917413 is an apocalyptic number.

It is an amenable number.

137917413 is a deficient number, since it is larger than the sum of its proper divisors (75212595).

137917413 is a wasteful number, since it uses less digits than its factorization.

137917413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9410 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 137917413 is about 11743.8244622440. The cubic root of 137917413 is about 516.6618175519.

The spelling of 137917413 in words is "one hundred thirty-seven million, nine hundred seventeen thousand, four hundred thirteen".