252136281600 has 1200 divisors, whose sum is σ = 1089785532000. Its totient is φ = 57549864960.

The previous prime is 252136281587. The next prime is 252136281601. The reversal of 252136281600 is 6182631252.

252136281600 is a `hidden beast` number, since 2 + 5 + 2 + 13 + 628 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 (252136281601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 355622046 + ... + 355622754.

It is an arithmetic number, because the mean of its divisors is an integer number (908154610).

Almost surely, 2^252136281600 is an apocalyptic number.

252136281600 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 252136281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544892766000).

252136281600 is an abundant number, since it is smaller than the sum of its proper divisors (837649250400).

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

252136281600 is an frugal number, since it uses more digits than its factorization.

252136281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 252136281600 in words is "two hundred fifty-two billion, one hundred thirty-six million, two hundred eighty-one thousand, six hundred".