252144060 has 144 divisors (see below), whose sum is σ = 852074496. Its totient is φ = 54566784.

The previous prime is 252144059. The next prime is 252144071. The reversal of 252144060 is 60441252.

It is a self number, because there is not a number n which added to its sum of digits gives 252144060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150789 + ... + 152451.

It is an arithmetic number, because the mean of its divisors is an integer number (5917184).

Almost surely, 2^252144060 is an apocalyptic number.

252144060 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 252144060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426037248).

252144060 is an abundant number, since it is smaller than the sum of its proper divisors (599930436).

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

252144060 is a wasteful number, since it uses less digits than its factorization.

252144060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 252144060 is about 15879.0446815922. The cubic root of 252144060 is about 631.7562985785.

The spelling of 252144060 in words is "two hundred fifty-two million, one hundred forty-four thousand, sixty".