315142240 has 96 divisors (see below), whose sum is σ = 867101760. Its totient is φ = 105990144.

The previous prime is 315142237. The next prime is 315142253. The reversal of 315142240 is 42241513.

It is a congruent number.

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, 56706 + ... + 62014.

It is an arithmetic number, because the mean of its divisors is an integer number (9032310).

Almost surely, 2^315142240 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 315142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433550880).

315142240 is an abundant number, since it is smaller than the sum of its proper divisors (551959520).

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

315142240 is a wasteful number, since it uses less digits than its factorization.

315142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 315142240 is about 17752.2460550771. The cubic root of 315142240 is about 680.5116103705.

Adding to 315142240 its reverse (42241513), we get a palindrome (357383753).

It can be divided in two parts, 31 and 5142240, that multiplied together give a triangular number (159409440 = T₁₇₈₅₅).

The spelling of 315142240 in words is "three hundred fifteen million, one hundred forty-two thousand, two hundred forty".