138631704120 has 1536 divisors, whose sum is σ = 619053926400. Its totient is φ = 27088846848.

The previous prime is 138631704089. The next prime is 138631704137. The reversal of 138631704120 is 21407136831.

It is a happy number.

138631704120 is a `hidden beast` number, since 1 + 3 + 8 + 631 + 7 + 0 + 4 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1226829184 + ... + 1226829296.

It is an arithmetic number, because the mean of its divisors is an integer number (403029900).

Almost surely, 2^138631704120 is an apocalyptic number.

138631704120 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 138631704120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309526963200).

138631704120 is an abundant number, since it is smaller than the sum of its proper divisors (480422222280).

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

138631704120 is a wasteful number, since it uses less digits than its factorization.

138631704120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 138631704120 in words is "one hundred thirty-eight billion, six hundred thirty-one million, seven hundred four thousand, one hundred twenty".