255146624 has 32 divisors (see below), whose sum is σ = 514034100. Its totient is φ = 126134272.

The previous prime is 255146623. The next prime is 255146627. The reversal of 255146624 is 426641552.

It can be written as a sum of positive squares in 2 ways, for example, as 250652224 + 4494400 = 15832^2 + 2120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (255146623) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 194 + ... + 22590.

Almost surely, 2^255146624 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 255146624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257017050).

255146624 is an abundant number, since it is smaller than the sum of its proper divisors (258887476).

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

255146624 is an equidigital number, since it uses as much as digits as its factorization.

255146624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22500 (or 22488 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 255146624 is about 15973.3097384356. The cubic root of 255146624 is about 634.2540884978.

The spelling of 255146624 in words is "two hundred fifty-five million, one hundred forty-six thousand, six hundred twenty-four".