315563136 has 192 divisors, whose sum is σ = 1008380160. Its totient is φ = 87091200.

The previous prime is 315563119. The next prime is 315563147. The reversal of 315563136 is 631365513.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 315563097 and 315563106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583026 + ... + 583566.

It is an arithmetic number, because the mean of its divisors is an integer number (5251980).

Almost surely, 2^315563136 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 315563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504190080).

315563136 is an abundant number, since it is smaller than the sum of its proper divisors (692817024).

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

315563136 is a wasteful number, since it uses less digits than its factorization.

315563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 584 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 315563136 is about 17764.0968247755. The cubic root of 315563136 is about 680.8144336242.

The spelling of 315563136 in words is "three hundred fifteen million, five hundred sixty-three thousand, one hundred thirty-six".