252134536896 has 336 divisors, whose sum is σ = 832636546560. Its totient is φ = 72143861760.

The previous prime is 252134536847. The next prime is 252134536897. The reversal of 252134536896 is 698635431252.

It is a happy number.

252134536896 is a `hidden beast` number, since 2 + 5 + 2 + 13 + 4 + 536 + 8 + 96 = 666.

252134536896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252134536897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38158425 + ... + 38165031.

It is an arithmetic number, because the mean of its divisors is an integer number (2478084960).

Almost surely, 2^252134536896 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 252134536896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416318273280).

252134536896 is an abundant number, since it is smaller than the sum of its proper divisors (580502009664).

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

252134536896 is a wasteful number, since it uses less digits than its factorization.

252134536896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 6959 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 252134536896 in words is "two hundred fifty-two billion, one hundred thirty-four million, five hundred thirty-six thousand, eight hundred ninety-six".