252990144 has 84 divisors (see below), whose sum is σ = 791093160. Its totient is φ = 76661760.

The previous prime is 252990139. The next prime is 252990193. The reversal of 252990144 is 441099252.

252990144 is a `hidden beast` number, since 2 + 529 + 90 + 1 + 44 = 666.

It is a super-2 number, since 2×252990144² = 128008025922281472, which contains 22 as substring.

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 = 252990099 and 252990108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13629 + ... + 26300.

Almost surely, 2^252990144 is an apocalyptic number.

252990144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252990144 is an abundant number, since it is smaller than the sum of its proper divisors (538103016).

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

252990144 is a wasteful number, since it uses less digits than its factorization.

252990144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39958 (or 39945 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 252990144 is about 15905.6638968639. The cubic root of 252990144 is about 632.4621412867.

The spelling of 252990144 in words is "two hundred fifty-two million, nine hundred ninety thousand, one hundred forty-four".