138476415168 has 252 divisors, whose sum is σ = 491200580208. Its totient is φ = 36521072640.

The previous prime is 138476415157. The next prime is 138476415179. The reversal of 138476415168 is 861514674831.

138476415168 is a `hidden beast` number, since 1 + 3 + 8 + 476 + 4 + 1 + 5 + 168 = 666.

138476415168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138476415157) and next prime (138476415179).

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 579798 + ... + 783018.

Almost surely, 2^138476415168 is an apocalyptic number.

138476415168 is a gapful number since it is divisible by the number (18) 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 138476415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245600290104).

138476415168 is an abundant number, since it is smaller than the sum of its proper divisors (352724165040).

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

138476415168 is a wasteful number, since it uses less digits than its factorization.

138476415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203272 (or 203246 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 138476415168 in words is "one hundred thirty-eight billion, four hundred seventy-six million, four hundred fifteen thousand, one hundred sixty-eight".