138913646184 has 216 divisors, whose sum is σ = 421821601110. Its totient is φ = 41284795392.

The previous prime is 138913646159. The next prime is 138913646213. The reversal of 138913646184 is 481646319831.

138913646184 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 13 + 6 + 4 + 618 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 136006064100 + 2907582084 = 368790^2 + 53922^2 .

It is a super-2 number, since 2×138913646184² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 138913646184.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7502442 + ... + 7520934.

Almost surely, 2^138913646184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138913646184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210910800555).

138913646184 is an abundant number, since it is smaller than the sum of its proper divisors (282907954926).

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

138913646184 is a wasteful number, since it uses less digits than its factorization.

138913646184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18577 (or 18534 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 138913646184 in words is "one hundred thirty-eight billion, nine hundred thirteen million, six hundred forty-six thousand, one hundred eighty-four".