252741138300 has 288 divisors, whose sum is σ = 933005283840. Its totient is φ = 57494707200.

The previous prime is 252741138257. The next prime is 252741138301. The reversal of 252741138300 is 3831147252.

252741138300 is a `hidden beast` number, since 2 + 5 + 274 + 1 + 1 + 383 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252741138301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3956212 + ... + 4019588.

It is an arithmetic number, because the mean of its divisors is an integer number (3239601680).

Almost surely, 2^252741138300 is an apocalyptic number.

252741138300 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 252741138300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466502641920).

252741138300 is an abundant number, since it is smaller than the sum of its proper divisors (680264145540).

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

252741138300 is a wasteful number, since it uses less digits than its factorization.

252741138300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63618 (or 63605 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 252741138300 in words is "two hundred fifty-two billion, seven hundred forty-one million, one hundred thirty-eight thousand, three hundred".