252135276700 has 72 divisors (see below), whose sum is σ = 555194430560. Its totient is φ = 99371059200.

The previous prime is 252135276691. The next prime is 252135276707. The reversal of 252135276700 is 7672531252.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252135276707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7348585 + ... + 7382815.

Almost surely, 2^252135276700 is an apocalyptic number.

252135276700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252135276700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277597215280).

252135276700 is an abundant number, since it is smaller than the sum of its proper divisors (303059153860).

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

252135276700 is a wasteful number, since it uses less digits than its factorization.

252135276700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35327 (or 35320 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 252135276700 in words is "two hundred fifty-two billion, one hundred thirty-five million, two hundred seventy-six thousand, seven hundred".