138723264960 has 168 divisors, whose sum is σ = 512356150800. Its totient is φ = 31708164096.

The previous prime is 138723264959. The next prime is 138723264991. The reversal of 138723264960 is 69462327831.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427485 + ... + 1521564.

Almost surely, 2^138723264960 is an apocalyptic number.

138723264960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138723264960 is an abundant number, since it is smaller than the sum of its proper divisors (373632885840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138723264960 is a wasteful number, since it uses less digits than its factorization.

138723264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949083 (or 2949066 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 138723264960 in words is "one hundred thirty-eight billion, seven hundred twenty-three million, two hundred sixty-four thousand, nine hundred sixty".