138181727232 has 528 divisors, whose sum is σ = 455423634432. Its totient is φ = 40096235520.

The previous prime is 138181727219. The next prime is 138181727251. The reversal of 138181727232 is 232727181831.

138181727232 is a `hidden beast` number, since 1 + 381 + 8 + 17 + 27 + 232 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111706518 + ... + 111707754.

Almost surely, 2^138181727232 is an apocalyptic number.

138181727232 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 138181727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227711817216).

138181727232 is an abundant number, since it is smaller than the sum of its proper divisors (317241907200).

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

138181727232 is a wasteful number, since it uses less digits than its factorization.

138181727232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1313 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 138181727232 in words is "one hundred thirty-eight billion, one hundred eighty-one million, seven hundred twenty-seven thousand, two hundred thirty-two".