138132686952 has 192 divisors, whose sum is σ = 407558511360. Its totient is φ = 42012172800.

The previous prime is 138132686927. The next prime is 138132687071. The reversal of 138132686952 is 259686231831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33226858 + ... + 33231014.

It is an arithmetic number, because the mean of its divisors is an integer number (2122700580).

Almost surely, 2^138132686952 is an apocalyptic number.

138132686952 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 138132686952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203779255680).

138132686952 is an abundant number, since it is smaller than the sum of its proper divisors (269425824408).

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

138132686952 is a wasteful number, since it uses less digits than its factorization.

138132686952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4577 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 138132686952 in words is "one hundred thirty-eight billion, one hundred thirty-two million, six hundred eighty-six thousand, nine hundred fifty-two".