138074365584 has 160 divisors (see below), whose sum is σ = 398577267200. Its totient is φ = 45763937280.

The previous prime is 138074365553. The next prime is 138074365613. The reversal of 138074365584 is 485563470831.

138074365584 is a `hidden beast` number, since 1 + 3 + 80 + 7 + 4 + 3 + 6 + 558 + 4 = 666.

It is a super-2 number, since 2×138074365584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 138074365584.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85812972 + ... + 85814580.

It is an arithmetic number, because the mean of its divisors is an integer number (2491107920).

Almost surely, 2^138074365584 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 138074365584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199288633600).

138074365584 is an abundant number, since it is smaller than the sum of its proper divisors (260502901616).

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

138074365584 is a wasteful number, since it uses less digits than its factorization.

138074365584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 138074365584 in words is "one hundred thirty-eight billion, seventy-four million, three hundred sixty-five thousand, five hundred eighty-four".