252125136 has 120 divisors (see below), whose sum is σ = 770471520. Its totient is φ = 79595136.

The previous prime is 252125053. The next prime is 252125143. The reversal of 252125136 is 631521252.

It is a happy number.

252125136 is a `hidden beast` number, since 2 + 521 + 2 + 5 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72166 + ... + 75578.

It is an arithmetic number, because the mean of its divisors is an integer number (6420596).

Almost surely, 2^252125136 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 252125136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385235760).

252125136 is an abundant number, since it is smaller than the sum of its proper divisors (518346384).

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

252125136 is a wasteful number, since it uses less digits than its factorization.

252125136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3437 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 252125136 is about 15878.4487907352. The cubic root of 252125136 is about 631.7404932551.

Adding to 252125136 its reverse (631521252), we get a palindrome (883646388).

The spelling of 252125136 in words is "two hundred fifty-two million, one hundred twenty-five thousand, one hundred thirty-six".