315142520 has 192 divisors, whose sum is σ = 921922560. Its totient is φ = 95827200.

The previous prime is 315142483. The next prime is 315142543. The reversal of 315142520 is 25241513.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1013165 + ... + 1013475.

It is an arithmetic number, because the mean of its divisors is an integer number (4801680).

Almost surely, 2^315142520 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 315142520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460961280).

315142520 is an abundant number, since it is smaller than the sum of its proper divisors (606780040).

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

315142520 is a wasteful number, since it uses less digits than its factorization.

315142520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 315142520 is about 17752.2539414014. The cubic root of 315142520 is about 680.5118119125.

The spelling of 315142520 in words is "three hundred fifteen million, one hundred forty-two thousand, five hundred twenty".