138281375232 has 800 divisors, whose sum is σ = 554326020864. Its totient is φ = 33144422400.

The previous prime is 138281375189. The next prime is 138281375237. The reversal of 138281375232 is 232573182831.

138281375232 is a `hidden beast` number, since 1 + 382 + 8 + 1 + 37 + 5 + 232 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138281375237) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41511807 + ... + 41515137.

Almost surely, 2^138281375232 is an apocalyptic number.

138281375232 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 138281375232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277163010432).

138281375232 is an abundant number, since it is smaller than the sum of its proper divisors (416044645632).

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

138281375232 is a wasteful number, since it uses less digits than its factorization.

138281375232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3367 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 138281375232 in words is "one hundred thirty-eight billion, two hundred eighty-one million, three hundred seventy-five thousand, two hundred thirty-two".