315138824 has 256 divisors, whose sum is σ = 870912000. Its totient is φ = 102896640.

The previous prime is 315138823. The next prime is 315138841. The reversal of 315138824 is 428831513.

It is a happy number.

Its product of digits (23040) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (315138823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5341307 + ... + 5341365.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^315138824 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 315138824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

315138824 is an abundant number, since it is smaller than the sum of its proper divisors (555773176).

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

315138824 is a wasteful number, since it uses less digits than its factorization.

315138824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 315138824 is about 17752.1498416389. The cubic root of 315138824 is about 680.5091515484.

The spelling of 315138824 in words is "three hundred fifteen million, one hundred thirty-eight thousand, eight hundred twenty-four".