138788552755200 has 1152 divisors, whose sum is σ = 485963496345600. Its totient is φ = 34872997969920.

The previous prime is 138788552755189. The next prime is 138788552755219. The reversal of 138788552755200 is 2557255887831.

It is a super-2 number, since 2×138788552755200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67275109369 + ... + 67275111431.

It is an arithmetic number, because the mean of its divisors is an integer number (421843312800).

Almost surely, 2^{138788552755200} is an apocalyptic number.

138788552755200 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 138788552755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242981748172800).

138788552755200 is an abundant number, since it is smaller than the sum of its proper divisors (347174943590400).

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

138788552755200 is a wasteful number, since it uses less digits than its factorization.

138788552755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 188160000, while the sum is 66.

The spelling of 138788552755200 in words is "one hundred thirty-eight trillion, seven hundred eighty-eight billion, five hundred fifty-two million, seven hundred fifty-five thousand, two hundred".