138384752 has 80 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 57496320.

The previous prime is 138384739. The next prime is 138384761. The reversal of 138384752 is 257483831.

138384752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138384752² = 38300679172203008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96263 + ... + 97689.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^138384752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138384752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

138384752 is an abundant number, since it is smaller than the sum of its proper divisors (180344848).

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

138384752 is a wasteful number, since it uses less digits than its factorization.

138384752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 138384752 is about 11763.7048585894. The cubic root of 138384752 is about 517.2447364547.

The spelling of 138384752 in words is "one hundred thirty-eight million, three hundred eighty-four thousand, seven hundred fifty-two".