137905268929920 has 320 divisors, whose sum is σ = 503937753636240. Its totient is φ = 35919511326720.

The previous prime is 137905268929859. The next prime is 137905268929921. The reversal of 137905268929920 is 29929862509731.

137905268929920 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 0 + 526 + 8 + 9 + 2 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137905268929921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28703551 + ... + 33161790.

Almost surely, 2^{137905268929920} is an apocalyptic number.

137905268929920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137905268929920 is an abundant number, since it is smaller than the sum of its proper divisors (366032484706320).

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

137905268929920 is an equidigital number, since it uses as much as digits as its factorization.

137905268929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61865415 (or 61865394 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 137905268929920 in words is "one hundred thirty-seven trillion, nine hundred five billion, two hundred sixty-eight million, nine hundred twenty-nine thousand, nine hundred twenty".