137008107 has 12 divisors (see below), whose sum is σ = 208316680. Its totient is φ = 86531328.

The previous prime is 137008097. The next prime is 137008111. The reversal of 137008107 is 701800731.

137008107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137008107 - 2⁷ = 137007979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137008147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400438 + ... + 400779.

Almost surely, 2^137008107 is an apocalyptic number.

137008107 is a deficient number, since it is larger than the sum of its proper divisors (71308573).

137008107 is a wasteful number, since it uses less digits than its factorization.

137008107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801242 (or 801239 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 137008107 is about 11705.0462194730. The cubic root of 137008107 is about 515.5238418856.

Adding to 137008107 its reverse (701800731), we get a palindrome (838808838).

The spelling of 137008107 in words is "one hundred thirty-seven million, eight thousand, one hundred seven".