252416136 has 128 divisors (see below), whose sum is σ = 788520960. Its totient is φ = 65664000.

The previous prime is 252416107. The next prime is 252416141. The reversal of 252416136 is 631614252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87111 + ... + 89961.

It is an arithmetic number, because the mean of its divisors is an integer number (6160320).

Almost surely, 2^252416136 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 252416136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394260480).

252416136 is an abundant number, since it is smaller than the sum of its proper divisors (536104824).

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

252416136 is a wasteful number, since it uses less digits than its factorization.

252416136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2911 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 252416136 is about 15887.6095118177. The cubic root of 252416136 is about 631.9834490672.

The spelling of 252416136 in words is "two hundred fifty-two million, four hundred sixteen thousand, one hundred thirty-six".