252145504 has 144 divisors (see below), whose sum is σ = 596810592. Its totient is φ = 104011776.

The previous prime is 252145483. The next prime is 252145511. The reversal of 252145504 is 405541252.

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, 3454012 + ... + 3454084.

It is an arithmetic number, because the mean of its divisors is an integer number (4144518).

Almost surely, 2^252145504 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 252145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298405296).

252145504 is an abundant number, since it is smaller than the sum of its proper divisors (344665088).

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

252145504 is a wasteful number, since it uses less digits than its factorization.

252145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 252145504 is about 15879.0901502574. The cubic root of 252145504 is about 631.7575045748.

Adding to 252145504 its reverse (405541252), we get a palindrome (657686756).

The spelling of 252145504 in words is "two hundred fifty-two million, one hundred forty-five thousand, five hundred four".