138038026800 has 60 divisors (see below), whose sum is σ = 442181816360. Its totient is φ = 36810140160.

The previous prime is 138038026769. The next prime is 138038026801. The reversal of 138038026800 is 8620830831.

138038026800 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 (60).

It is not an unprimeable number, because it can be changed into a prime (138038026801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 57514645 + ... + 57517044.

Almost surely, 2^138038026800 is an apocalyptic number.

138038026800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138038026800 is an abundant number, since it is smaller than the sum of its proper divisors (304143789560).

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

138038026800 is a wasteful number, since it uses less digits than its factorization.

138038026800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115031710 (or 115031699 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 138038026800 in words is "one hundred thirty-eight billion, thirty-eight million, twenty-six thousand, eight hundred".