138015520144 has 40 divisors (see below), whose sum is σ = 267846919200. Its totient is φ = 68893843200.

The previous prime is 138015520121. The next prime is 138015520151. The reversal of 138015520144 is 441025510831.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45835599 + ... + 45838609.

It is an arithmetic number, because the mean of its divisors is an integer number (6696172980).

Almost surely, 2^138015520144 is an apocalyptic number.

It is an amenable number.

138015520144 is a deficient number, since it is larger than the sum of its proper divisors (129831399056).

138015520144 is a wasteful number, since it uses less digits than its factorization.

138015520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6799 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 138015520144 in words is "one hundred thirty-eight billion, fifteen million, five hundred twenty thousand, one hundred forty-four".