138840609600 has 840 divisors, whose sum is σ = 636317719488. Its totient is φ = 28847923200.

The previous prime is 138840609599. The next prime is 138840609617. The reversal of 138840609600 is 6906048831.

138840609600 is a `hidden beast` number, since 1 + 38 + 8 + 4 + 0 + 6 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×138840609600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9972244 + ... + 9986156.

Almost surely, 2^138840609600 is an apocalyptic number.

138840609600 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 138840609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318158859744).

138840609600 is an abundant number, since it is smaller than the sum of its proper divisors (497477109888).

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

138840609600 is a wasteful number, since it uses less digits than its factorization.

138840609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13965 (or 13941 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 138840609600 in words is "one hundred thirty-eight billion, eight hundred forty million, six hundred nine thousand, six hundred".