138631752 has 192 divisors, whose sum is σ = 467251200. Its totient is φ = 36236160.

The previous prime is 138631739. The next prime is 138631781. The reversal of 138631752 is 257136831.

138631752 is a `hidden beast` number, since 13 + 8 + 631 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296623 + ... + 297089.

It is an arithmetic number, because the mean of its divisors is an integer number (2433600).

Almost surely, 2^138631752 is an apocalyptic number.

138631752 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 138631752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233625600).

138631752 is an abundant number, since it is smaller than the sum of its proper divisors (328619448).

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

138631752 is a wasteful number, since it uses less digits than its factorization.

138631752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 529 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 138631752 is about 11774.1985714528. The cubic root of 138631752 is about 517.5522932523.

The spelling of 138631752 in words is "one hundred thirty-eight million, six hundred thirty-one thousand, seven hundred fifty-two".