138414433920 has 128 divisors (see below), whose sum is σ = 504224058240. Its totient is φ = 31637581824.

The previous prime is 138414433853. The next prime is 138414433943. The reversal of 138414433920 is 29334414831.

It is a happy number.

138414433920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5135907 + ... + 5162786.

It is an arithmetic number, because the mean of its divisors is an integer number (3939250455).

Almost surely, 2^138414433920 is an apocalyptic number.

138414433920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138414433920 is an abundant number, since it is smaller than the sum of its proper divisors (365809624320).

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

138414433920 is a wasteful number, since it uses less digits than its factorization.

138414433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10298722 (or 10298710 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 138414433920 in words is "one hundred thirty-eight billion, four hundred fourteen million, four hundred thirty-three thousand, nine hundred twenty".