252235530144 has 192 divisors, whose sum is σ = 793909226880. Its totient is φ = 77451171840.

The previous prime is 252235530109. The next prime is 252235530149. The reversal of 252235530144 is 441035532252.

252235530144 is a `hidden beast` number, since 2 + 52 + 2 + 35 + 530 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 252235530099 and 252235530108.

It is not an unprimeable number, because it can be changed into a prime (252235530149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5492044 + ... + 5537780.

It is an arithmetic number, because the mean of its divisors is an integer number (4134943890).

Almost surely, 2^252235530144 is an apocalyptic number.

252235530144 is a gapful number since it is divisible by the number (24) 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 252235530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396954613440).

252235530144 is an abundant number, since it is smaller than the sum of its proper divisors (541673696736).

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

252235530144 is a wasteful number, since it uses less digits than its factorization.

252235530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46260 (or 46246 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 252235530144 in words is "two hundred fifty-two billion, two hundred thirty-five million, five hundred thirty thousand, one hundred forty-four".