252215136 has 72 divisors (see below), whose sum is σ = 718996824. Its totient is φ = 83865600.

The previous prime is 252215129. The next prime is 252215141. The reversal of 252215136 is 631512252.

It is a happy number.

252215136 is a `hidden beast` number, since 2 + 522 + 1 + 5 + 136 = 666.

252215136 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×252215136² = 127224949654996992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156736 + ... + 158336.

It is an arithmetic number, because the mean of its divisors is an integer number (9986067).

Almost surely, 2^252215136 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 252215136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359498412).

252215136 is an abundant number, since it is smaller than the sum of its proper divisors (466781688).

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

252215136 is a wasteful number, since it uses less digits than its factorization.

252215136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2153 counting only the distinct ones).

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

The square root of 252215136 is about 15881.2825678533. The cubic root of 252215136 is about 631.8156541868.

Adding to 252215136 its reverse (631512252), we get a palindrome (883727388).

The spelling of 252215136 in words is "two hundred fifty-two million, two hundred fifteen thousand, one hundred thirty-six".