138408642960 has 640 divisors, whose sum is σ = 535015756800. Its totient is φ = 28978053120.

The previous prime is 138408642949. The next prime is 138408642973. The reversal of 138408642960 is 69246804831.

138408642960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 338407236 + ... + 338407644.

It is an arithmetic number, because the mean of its divisors is an integer number (835962120).

Almost surely, 2^138408642960 is an apocalyptic number.

138408642960 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 138408642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267507878400).

138408642960 is an abundant number, since it is smaller than the sum of its proper divisors (396607113840).

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

138408642960 is a wasteful number, since it uses less digits than its factorization.

138408642960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 138408642960 in words is "one hundred thirty-eight billion, four hundred eight million, six hundred forty-two thousand, nine hundred sixty".