138367638400 has 48 divisors (see below), whose sum is σ = 341811314640. Its totient is φ = 55347054080.

The previous prime is 138367638349. The next prime is 138367638419. The reversal of 138367638400 is 4836763831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21616744 + ... + 21623143.

It is an arithmetic number, because the mean of its divisors is an integer number (7121069055).

Almost surely, 2^138367638400 is an apocalyptic number.

138367638400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138367638400 is an abundant number, since it is smaller than the sum of its proper divisors (203443676240).

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

138367638400 is an equidigital number, since it uses as much as digits as its factorization.

138367638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43239911 (or 43239894 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 138367638400 in words is "one hundred thirty-eight billion, three hundred sixty-seven million, six hundred thirty-eight thousand, four hundred".