138015052900 has 72 divisors (see below), whose sum is σ = 303436578816. Its totient is φ = 54483609600.

The previous prime is 138015052873. The next prime is 138015052913. The reversal of 138015052900 is 9250510831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2397252 + ... + 2454148.

It is an arithmetic number, because the mean of its divisors is an integer number (4214396928).

Almost surely, 2^138015052900 is an apocalyptic number.

138015052900 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 138015052900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151718289408).

138015052900 is an abundant number, since it is smaller than the sum of its proper divisors (165421525916).

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

138015052900 is a wasteful number, since it uses less digits than its factorization.

138015052900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57229 (or 57222 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 138015052900 in words is "one hundred thirty-eight billion, fifteen million, fifty-two thousand, nine hundred".