315120540 has 48 divisors (see below), whose sum is σ = 1008387072. Its totient is φ = 72027456.

The previous prime is 315120523. The next prime is 315120577. The reversal of 315120540 is 45021513.

315120540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 374724 + ... + 375563.

It is an arithmetic number, because the mean of its divisors is an integer number (21008064).

Almost surely, 2^315120540 is an apocalyptic number.

315120540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315120540 is an abundant number, since it is smaller than the sum of its proper divisors (693266532).

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

315120540 is a wasteful number, since it uses less digits than its factorization.

315120540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750306 (or 750304 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 315120540 is about 17751.6348542888. The cubic root of 315120540 is about 680.4959905021.

The spelling of 315120540 in words is "three hundred fifteen million, one hundred twenty thousand, five hundred forty".