252408138 has 32 divisors (see below), whose sum is σ = 522143232. Its totient is φ = 81259200.

The previous prime is 252408137. The next prime is 252408161. The reversal of 252408138 is 831804252.

252408138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252408099 and 252408108.

It is not an unprimeable number, because it can be changed into a prime (252408131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121920 + ... + 123972.

It is an arithmetic number, because the mean of its divisors is an integer number (16316976).

Almost surely, 2^252408138 is an apocalyptic number.

252408138 is an abundant number, since it is smaller than the sum of its proper divisors (269735094).

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

252408138 is a wasteful number, since it uses less digits than its factorization.

252408138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 252408138 is about 15887.3578042417. The cubic root of 252408138 is about 631.9767740356.

The spelling of 252408138 in words is "two hundred fifty-two million, four hundred eight thousand, one hundred thirty-eight".