137472656832000 has 1920 divisors, whose sum is σ = 577109264928768. Its totient is φ = 30802747392000.

The previous prime is 137472656831999. The next prime is 137472656832073. The reversal of 137472656832000 is 238656274731.

It is a happy number.

137472656832000 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 72 + 6 + 568 + 3 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90264383239 + ... + 90264384761.

Almost surely, 2^{137472656832000} is an apocalyptic number.

137472656832000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137472656832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288554632464384).

137472656832000 is an abundant number, since it is smaller than the sum of its proper divisors (439636608096768).

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

137472656832000 is a wasteful number, since it uses less digits than its factorization.

137472656832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 137472656832000 in words is "one hundred thirty-seven trillion, four hundred seventy-two billion, six hundred fifty-six million, eight hundred thirty-two thousand".