138038924883200 has 432 divisors, whose sum is σ = 402950011007040. Its totient is φ = 46268817408000.

The previous prime is 138038924883157. The next prime is 138038924883217. The reversal of 138038924883200 is 2388429830831.

It is a self number, because there is not a number n which added to its sum of digits gives 138038924883200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48096620 + ... + 50885780.

Almost surely, 2^{138038924883200} is an apocalyptic number.

138038924883200 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 138038924883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201475005503520).

138038924883200 is an abundant number, since it is smaller than the sum of its proper divisors (264911086123840).

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

138038924883200 is a wasteful number, since it uses less digits than its factorization.

138038924883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789254 (or 2789235 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 59.

The spelling of 138038924883200 in words is "one hundred thirty-eight trillion, thirty-eight billion, nine hundred twenty-four million, eight hundred eighty-three thousand, two hundred".