138604752 has 240 divisors, whose sum is σ = 467970048. Its totient is φ = 37739520.

The previous prime is 138604733. The next prime is 138604777. The reversal of 138604752 is 257406831.

It is a super-2 number, since 2×138604752² = 38422554553963008, which contains 22 as substring.

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, 1091313 + ... + 1091439.

Almost surely, 2^138604752 is an apocalyptic number.

138604752 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 138604752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

138604752 is an abundant number, since it is smaller than the sum of its proper divisors (329365296).

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

138604752 is a wasteful number, since it uses less digits than its factorization.

138604752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 138604752 is about 11773.0519407671. The cubic root of 138604752 is about 517.5186914764.

The spelling of 138604752 in words is "one hundred thirty-eight million, six hundred four thousand, seven hundred fifty-two".