138777626400 has 576 divisors, whose sum is σ = 545265100800. Its totient is φ = 29949419520.

The previous prime is 138777626399. The next prime is 138777626453. The reversal of 138777626400 is 4626777831.

It is a happy number.

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, 130552269 + ... + 130553331.

It is an arithmetic number, because the mean of its divisors is an integer number (946640800).

Almost surely, 2^138777626400 is an apocalyptic number.

138777626400 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 138777626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272632550400).

138777626400 is an abundant number, since it is smaller than the sum of its proper divisors (406487474400).

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

138777626400 is a wasteful number, since it uses less digits than its factorization.

138777626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 138777626400 in words is "one hundred thirty-eight billion, seven hundred seventy-seven million, six hundred twenty-six thousand, four hundred".