137929407 has 32 divisors (see below), whose sum is σ = 230031360. Its totient is φ = 71418720.

The previous prime is 137929369. The next prime is 137929409. The reversal of 137929407 is 704929731.

137929407 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 137929407 - 2²⁰ = 136880831 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137929409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87694 + ... + 89252.

It is an arithmetic number, because the mean of its divisors is an integer number (7188480).

Almost surely, 2^137929407 is an apocalyptic number.

137929407 is a deficient number, since it is larger than the sum of its proper divisors (92101953).

137929407 is a wasteful number, since it uses less digits than its factorization.

137929407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963.

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 137929407 is about 11744.3351025079. The cubic root of 137929407 is about 516.6767942980.

The spelling of 137929407 in words is "one hundred thirty-seven million, nine hundred twenty-nine thousand, four hundred seven".