252198144 has 288 divisors, whose sum is σ = 847687680. Its totient is φ = 73267200.

The previous prime is 252198127. The next prime is 252198161. The reversal of 252198144 is 441891252.

252198144 is a `hidden beast` number, since 2 + 521 + 98 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (252198127) and next prime (252198161).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 252198099 and 252198108.

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, 2356939 + ... + 2357045.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 2^252198144 is an apocalyptic number.

252198144 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 252198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423843840).

252198144 is an abundant number, since it is smaller than the sum of its proper divisors (595489536).

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

252198144 is a wasteful number, since it uses less digits than its factorization.

252198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 252198144 is about 15880.7475894556. The cubic root of 252198144 is about 631.8014651723.

The spelling of 252198144 in words is "two hundred fifty-two million, one hundred ninety-eight thousand, one hundred forty-four".