137907 has 24 divisors (see below), whose sum is σ = 249600. Its totient is φ = 71280.

The previous prime is 137873. The next prime is 137909. The reversal of 137907 is 709731.

137907 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 137907 - 2¹⁰ = 136883 is a prime.

137907 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (137909) 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, 594 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (10400).

2¹³⁷⁹⁰⁷ is an apocalyptic number.

137907 is a deficient number, since it is larger than the sum of its proper divisors (111693).

137907 is a wasteful number, since it uses less digits than its factorization.

137907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 137907 is about 371.3583175317. The cubic root of 137907 is about 51.6648814275.

The spelling of 137907 in words is "one hundred thirty-seven thousand, nine hundred seven".