252980136 has 72 divisors (see below), whose sum is σ = 723187530. Its totient is φ = 79880256.

The previous prime is 252980089. The next prime is 252980153. The reversal of 252980136 is 631089252.

252980136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 171872100 + 81108036 = 13110^2 + 9006^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 252980136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21126 + ... + 30858.

Almost surely, 2^252980136 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 252980136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361593765).

252980136 is an abundant number, since it is smaller than the sum of its proper divisors (470207394).

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

252980136 is a wasteful number, since it uses less digits than its factorization.

252980136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9783 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 252980136 is about 15905.3492888399. The cubic root of 252980136 is about 632.4538013510.

It can be divided in two parts, 252980 and 136, that added together give a triangular number (253116 = T₇₁₁).

The spelling of 252980136 in words is "two hundred fifty-two million, nine hundred eighty thousand, one hundred thirty-six".