138315507 has 16 divisors (see below), whose sum is σ = 203144448. Its totient is φ = 83011680.

The previous prime is 138315493. The next prime is 138315517. The reversal of 138315507 is 705513831.

It is not a de Polignac number, because 138315507 - 2⁷ = 138315379 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (138315517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16948 + ... + 23745.

It is an arithmetic number, because the mean of its divisors is an integer number (12696528).

Almost surely, 2^138315507 is an apocalyptic number.

138315507 is a deficient number, since it is larger than the sum of its proper divisors (64828941).

138315507 is a wasteful number, since it uses less digits than its factorization.

138315507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40810.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 138315507 is about 11760.7613273971. The cubic root of 138315507 is about 517.1584490401.

The spelling of 138315507 in words is "one hundred thirty-eight million, three hundred fifteen thousand, five hundred seven".