138236680501920 has 864 divisors, whose sum is σ = 636855506711424. Its totient is φ = 26514924134400.

The previous prime is 138236680501919. The next prime is 138236680501939. The reversal of 138236680501920 is 29105086632831.

138236680501920 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 36 + 6 + 80 + 501 + 9 + 20 = 666.

It is a hoax number, since the sum of its digits (54) 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 143 ways as a sum of consecutive naturals, for example, 15050190 + ... + 22427250.

It is an arithmetic number, because the mean of its divisors is an integer number (737101280916).

Almost surely, 2^{138236680501920} is an apocalyptic number.

138236680501920 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 138236680501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427753355712).

138236680501920 is an abundant number, since it is smaller than the sum of its proper divisors (498618826209504).

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

138236680501920 is a wasteful number, since it uses less digits than its factorization.

138236680501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7377126 (or 7377102 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 138236680501920 in words is "one hundred thirty-eight trillion, two hundred thirty-six billion, six hundred eighty million, five hundred one thousand, nine hundred twenty".