315134688 has 96 divisors (see below), whose sum is σ = 911191680. Its totient is φ = 94568960.

The previous prime is 315134683. The next prime is 315134693. The reversal of 315134688 is 886431513.

It is an interprime number because it is at equal distance from previous prime (315134683) and next prime (315134693).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315134683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111598 + ... + 114386.

It is an arithmetic number, because the mean of its divisors is an integer number (9491580).

Almost surely, 2^315134688 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 315134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455595840).

315134688 is an abundant number, since it is smaller than the sum of its proper divisors (596056992).

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

315134688 is a wasteful number, since it uses less digits than its factorization.

315134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2912 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 315134688 is about 17752.0333483238. The cubic root of 315134688 is about 680.5061744497.

The spelling of 315134688 in words is "three hundred fifteen million, one hundred thirty-four thousand, six hundred eighty-eight".