137520567940320 has 384 divisors, whose sum is σ = 531793097902080. Its totient is φ = 33014314967040.

The previous prime is 137520567940279. The next prime is 137520567940321. The reversal of 137520567940320 is 23049765025731.

137520567940320 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 2 + 0 + 567 + 9 + 40 + 32 + 0 = 666.

It is a super-3 number, since 3×137520567940320³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137520567940321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39018636 + ... + 42396875.

It is an arithmetic number, because the mean of its divisors is an integer number (1384877859120).

Almost surely, 2^{137520567940320} is an apocalyptic number.

137520567940320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137520567940320 is an abundant number, since it is smaller than the sum of its proper divisors (394272529961760).

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

137520567940320 is a wasteful number, since it uses less digits than its factorization.

137520567940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81415575 (or 81415561 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 137520567940320 in words is "one hundred thirty-seven trillion, five hundred twenty billion, five hundred sixty-seven million, nine hundred forty thousand, three hundred twenty".