137379507 has 16 divisors (see below), whose sum is σ = 189422592. Its totient is φ = 88472160.

The previous prime is 137379491. The next prime is 137379509. The reversal of 137379507 is 705973731.

It is not a de Polignac number, because 137379507 - 2⁴ = 137379491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137379509) 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, 72253 + ... + 74129.

It is an arithmetic number, because the mean of its divisors is an integer number (11838912).

Almost surely, 2^137379507 is an apocalyptic number.

137379507 is a deficient number, since it is larger than the sum of its proper divisors (52043085).

137379507 is a wasteful number, since it uses less digits than its factorization.

137379507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698.

The product of its (nonzero) digits is 138915, while the sum is 42.

The square root of 137379507 is about 11720.9004346936. The cubic root of 137379507 is about 515.9892469666.

The spelling of 137379507 in words is "one hundred thirty-seven million, three hundred seventy-nine thousand, five hundred seven".