138320079216 has 320 divisors, whose sum is σ = 428147596800. Its totient is φ = 37984665600.

The previous prime is 138320079181. The next prime is 138320079217. The reversal of 138320079216 is 612970023831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138320079217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179869680 + ... + 179870448.

It is an arithmetic number, because the mean of its divisors is an integer number (1337961240).

Almost surely, 2^138320079216 is an apocalyptic number.

138320079216 is a gapful number since it is divisible by the number (16) 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 138320079216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214073798400).

138320079216 is an abundant number, since it is smaller than the sum of its proper divisors (289827517584).

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

138320079216 is a wasteful number, since it uses less digits than its factorization.

138320079216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 138320079216 in words is "one hundred thirty-eight billion, three hundred twenty million, seventy-nine thousand, two hundred sixteen".