138973135600 has 120 divisors (see below), whose sum is σ = 360166808960. Its totient is φ = 51227458560.

The previous prime is 138973135591. The next prime is 138973135601. The reversal of 138973135600 is 6531379831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138973135601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3134386 + ... + 3178414.

Almost surely, 2^138973135600 is an apocalyptic number.

138973135600 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 138973135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180083404480).

138973135600 is an abundant number, since it is smaller than the sum of its proper divisors (221193673360).

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

138973135600 is a wasteful number, since it uses less digits than its factorization.

138973135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44667 (or 44656 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 138973135600 in words is "one hundred thirty-eight billion, nine hundred seventy-three million, one hundred thirty-five thousand, six hundred".