137610407 has 16 divisors (see below), whose sum is σ = 161395200. Its totient is φ = 115986240.

The previous prime is 137610371. The next prime is 137610409. The reversal of 137610407 is 704016731.

It is a cyclic number.

It is not a de Polignac number, because 137610407 - 2²² = 133416103 is a prime.

It is a super-2 number, since 2×137610407² = 37873248229411298, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137610407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137610409) 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 15 ways as a sum of consecutive naturals, for example, 2819 + ... + 16827.

It is an arithmetic number, because the mean of its divisors is an integer number (10087200).

Almost surely, 2^137610407 is an apocalyptic number.

137610407 is a deficient number, since it is larger than the sum of its proper divisors (23784793).

137610407 is a wasteful number, since it uses less digits than its factorization.

137610407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 137610407 is about 11730.7462251981. The cubic root of 137610407 is about 516.2781673762.

The spelling of 137610407 in words is "one hundred thirty-seven million, six hundred ten thousand, four hundred seven".