252148000 has 144 divisors (see below), whose sum is σ = 672647976. Its totient is φ = 92851200.

The previous prime is 252147989. The next prime is 252148021. The reversal of 252148000 is 841252.

It can be written as a sum of positive squares in 12 ways, for example, as 76108176 + 176039824 = 8724^2 + 13268^2 .

It is a super-2 number, since 2×252148000² = 127157227808000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675814 + ... + 676186.

Almost surely, 2^252148000 is an apocalyptic number.

252148000 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 252148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336323988).

252148000 is an abundant number, since it is smaller than the sum of its proper divisors (420499976).

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

252148000 is a wasteful number, since it uses less digits than its factorization.

252148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 252148000 is about 15879.1687439866. The cubic root of 252148000 is about 631.7595891668.

Adding to 252148000 its reverse (841252), we get a palindrome (252989252).

The spelling of 252148000 in words is "two hundred fifty-two million, one hundred forty-eight thousand".