252153040152 has 128 divisors (see below), whose sum is σ = 683645276160. Its totient is φ = 77041359360.

The previous prime is 252153040067. The next prime is 252153040169. The reversal of 252153040152 is 251040351252.

It is a super-3 number, since 3×252153040152³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52192377 + ... + 52197207.

It is an arithmetic number, because the mean of its divisors is an integer number (5340978720).

Almost surely, 2^252153040152 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 252153040152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341822638080).

252153040152 is an abundant number, since it is smaller than the sum of its proper divisors (431492236008).

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

252153040152 is a wasteful number, since it uses less digits than its factorization.

252153040152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 252153040152 in words is "two hundred fifty-two billion, one hundred fifty-three million, forty thousand, one hundred fifty-two".