315363144 has 64 divisors (see below), whose sum is σ = 823011840. Its totient is φ = 100605440.

The previous prime is 315363127. The next prime is 315363157. The reversal of 315363144 is 441363513.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49129 + ... + 55175.

It is an arithmetic number, because the mean of its divisors is an integer number (12859560).

Almost surely, 2^315363144 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 315363144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411505920).

315363144 is an abundant number, since it is smaller than the sum of its proper divisors (507648696).

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

315363144 is a wasteful number, since it uses less digits than its factorization.

315363144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6146 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 315363144 is about 17758.4668257144. The cubic root of 315363144 is about 680.6705784030.

The spelling of 315363144 in words is "three hundred fifteen million, three hundred sixty-three thousand, one hundred forty-four".