138832733832 has 256 divisors, whose sum is σ = 387207475200. Its totient is φ = 41217146880.

The previous prime is 138832733789. The next prime is 138832733857. The reversal of 138832733832 is 238337238831.

It is a super-3 number, since 3×138832733832³ (a number of 34 digits) contains 333 as substring.

Its product of digits (3483648) is a multiple of the sum of its prime factors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356896294 + ... + 356896682.

It is an arithmetic number, because the mean of its divisors is an integer number (1512529200).

Almost surely, 2^138832733832 is an apocalyptic number.

138832733832 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 138832733832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193603737600).

138832733832 is an abundant number, since it is smaller than the sum of its proper divisors (248374741368).

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

138832733832 is a wasteful number, since it uses less digits than its factorization.

138832733832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 764 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 138832733832 in words is "one hundred thirty-eight billion, eight hundred thirty-two million, seven hundred thirty-three thousand, eight hundred thirty-two".