313936128 has 144 divisors (see below), whose sum is σ = 1013006400. Its totient is φ = 95109120.

The previous prime is 313936111. The next prime is 313936141. The reversal of 313936128 is 821639313.

313936128 is a `hidden beast` number, since 3 + 1 + 39 + 3 + 612 + 8 = 666.

313936128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 313936092 and 313936101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73968 + ... + 78096.

Almost surely, 2^313936128 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 313936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506503200).

313936128 is an abundant number, since it is smaller than the sum of its proper divisors (699070272).

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

313936128 is a wasteful number, since it uses less digits than its factorization.

313936128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4145 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 313936128 is about 17718.2428022646. The cubic root of 313936128 is about 679.6423494098.

The spelling of 313936128 in words is "three hundred thirteen million, nine hundred thirty-six thousand, one hundred twenty-eight".