315144 has 32 divisors (see below), whose sum is σ = 876000. Its totient is φ = 104976.

The previous prime is 315127. The next prime is 315179. The reversal of 315144 is 441513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (27375).

2³¹⁵¹⁴⁴ is an apocalyptic number.

It is an amenable number.

315144 is an abundant number, since it is smaller than the sum of its proper divisors (560856).

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

315144 is a wasteful number, since it uses less digits than its factorization.

315144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1464 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 315144 is about 561.3768787544. The cubic root of 315144 is about 68.0512877204.

Adding to 315144 its reverse (441513), we get a palindrome (756657).

The spelling of 315144 in words is "three hundred fifteen thousand, one hundred forty-four".