316135872 has 140 divisors (see below), whose sum is σ = 1009427496. Its totient is φ = 97251840.

The previous prime is 316135849. The next prime is 316135879. The reversal of 316135872 is 278531613.

316135872 is a `hidden beast` number, since 31 + 613 + 5 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316135879) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65047 + ... + 69737.

Almost surely, 2^316135872 is an apocalyptic number.

316135872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504713748).

316135872 is an abundant number, since it is smaller than the sum of its proper divisors (693291624).

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

316135872 is a wasteful number, since it uses less digits than its factorization.

316135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4709 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 316135872 is about 17780.2101224929. The cubic root of 316135872 is about 681.2260694453.

The spelling of 316135872 in words is "three hundred sixteen million, one hundred thirty-five thousand, eight hundred seventy-two".