138230172864 has 504 divisors, whose sum is σ = 503178836160. Its totient is φ = 37411766784.

The previous prime is 138230172833. The next prime is 138230172887. The reversal of 138230172864 is 468271032831.

138230172864 is a `hidden beast` number, since 138 + 230 + 1 + 7 + 286 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×138230172864² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14474139 + ... + 14483685.

Almost surely, 2^138230172864 is an apocalyptic number.

138230172864 is a gapful number since it is divisible by the number (14) 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 138230172864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251589418080).

138230172864 is an abundant number, since it is smaller than the sum of its proper divisors (364948663296).

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

138230172864 is an equidigital number, since it uses as much as digits as its factorization.

138230172864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 138230172864 in words is "one hundred thirty-eight billion, two hundred thirty million, one hundred seventy-two thousand, eight hundred sixty-four".