138402909216 has 864 divisors, whose sum is σ = 500680776960. Its totient is φ = 35929681920.

The previous prime is 138402909191. The next prime is 138402909247. The reversal of 138402909216 is 612909204831.

138402909216 is a `hidden beast` number, since 138 + 402 + 90 + 9 + 21 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 385523245 + ... + 385523603.

It is an arithmetic number, because the mean of its divisors is an integer number (579491640).

Almost surely, 2^138402909216 is an apocalyptic number.

138402909216 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 138402909216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250340388480).

138402909216 is an abundant number, since it is smaller than the sum of its proper divisors (362277867744).

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

138402909216 is a wasteful number, since it uses less digits than its factorization.

138402909216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 138402909216 in words is "one hundred thirty-eight billion, four hundred two million, nine hundred nine thousand, two hundred sixteen".