138905625600 has 1056 divisors, whose sum is σ = 614060697600. Its totient is φ = 30058905600.

The previous prime is 138905625559. The next prime is 138905625637. The reversal of 138905625600 is 6526509831.

138905625600 is a `hidden beast` number, since 1 + 3 + 89 + 0 + 5 + 6 + 2 + 560 + 0 = 666.

138905625600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 91928845 + ... + 91930355.

Almost surely, 2^138905625600 is an apocalyptic number.

138905625600 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 138905625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307030348800).

138905625600 is an abundant number, since it is smaller than the sum of its proper divisors (475155072000).

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

138905625600 is a wasteful number, since it uses less digits than its factorization.

138905625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 138905625600 in words is "one hundred thirty-eight billion, nine hundred five million, six hundred twenty-five thousand, six hundred".