138839132743584 has 192 divisors, whose sum is σ = 449530220240640. Its totient is φ = 36537483755520.

The previous prime is 138839132743501. The next prime is 138839132743603. The reversal of 138839132743584 is 485347231938831.

It is a super-2 number, since 2×138839132743584² (a number of 29 digits) contains 22 as substring.

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, 13209969 + ... + 21264560.

It is an arithmetic number, because the mean of its divisors is an integer number (2341303230420).

Almost surely, 2^{138839132743584} is an apocalyptic number.

138839132743584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138839132743584 is an abundant number, since it is smaller than the sum of its proper divisors (310691087497056).

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

138839132743584 is a wasteful number, since it uses less digits than its factorization.

138839132743584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34475023 (or 34475015 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 69.

The spelling of 138839132743584 in words is "one hundred thirty-eight trillion, eight hundred thirty-nine billion, one hundred thirty-two million, seven hundred forty-three thousand, five hundred eighty-four".