138820908600 has 576 divisors, whose sum is σ = 547415275680. Its totient is φ = 31150080000.

The previous prime is 138820908587. The next prime is 138820908623. The reversal of 138820908600 is 6809028831.

138820908600 is a `hidden beast` number, since 1 + 38 + 8 + 2 + 0 + 9 + 0 + 8 + 600 = 666.

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 143 ways as a sum of consecutive naturals, for example, 20529220 + ... + 20535980.

Almost surely, 2^138820908600 is an apocalyptic number.

138820908600 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 138820908600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273707637840).

138820908600 is an abundant number, since it is smaller than the sum of its proper divisors (408594367080).

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

138820908600 is a wasteful number, since it uses less digits than its factorization.

138820908600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 138820908600 in words is "one hundred thirty-eight billion, eight hundred twenty million, nine hundred eight thousand, six hundred".