252135207168 has 144 divisors (see below), whose sum is σ = 723952750080. Its totient is φ = 77441974272.

The previous prime is 252135207161. The next prime is 252135207169. The reversal of 252135207168 is 861702531252.

It is not an unprimeable number, because it can be changed into a prime (252135207161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5658705 + ... + 5703087.

Almost surely, 2^252135207168 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 252135207168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361976375040).

252135207168 is an abundant number, since it is smaller than the sum of its proper divisors (471817542912).

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

252135207168 is a wasteful number, since it uses less digits than its factorization.

252135207168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44984 (or 44970 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 252135207168 in words is "two hundred fifty-two billion, one hundred thirty-five million, two hundred seven thousand, one hundred sixty-eight".