138240614840832 has 720 divisors, whose sum is σ = 501741141913440. Its totient is φ = 36407159341056.

The previous prime is 138240614840807. The next prime is 138240614840903. The reversal of 138240614840832 is 238048416042831.

138240614840832 is a `hidden beast` number, since 1 + 3 + 8 + 24 + 0 + 61 + 484 + 0 + 83 + 2 = 666.

It is a super-2 number, since 2×138240614840832² (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 71 ways as a sum of consecutive naturals, for example, 158296323 + ... + 159167229.

It is an arithmetic number, because the mean of its divisors is an integer number (696862697102).

Almost surely, 2^{138240614840832} is an apocalyptic number.

138240614840832 is a gapful number since it is divisible by the number (12) 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 138240614840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250870570956720).

138240614840832 is an abundant number, since it is smaller than the sum of its proper divisors (363500527072608).

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

138240614840832 is a wasteful number, since it uses less digits than its factorization.

138240614840832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871001 (or 870975 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 138240614840832 in words is "one hundred thirty-eight trillion, two hundred forty billion, six hundred fourteen million, eight hundred forty thousand, eight hundred thirty-two".