313453152 has 240 divisors, whose sum is σ = 983549952. Its totient is φ = 97770240.

The previous prime is 313453111. The next prime is 313453171. The reversal of 313453152 is 251354313.

313453152 is a `hidden beast` number, since 3 + 1 + 345 + 315 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3776503 + ... + 3776585.

Almost surely, 2^313453152 is an apocalyptic number.

313453152 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 313453152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491774976).

313453152 is an abundant number, since it is smaller than the sum of its proper divisors (670096800).

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

313453152 is a wasteful number, since it uses less digits than its factorization.

313453152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 313453152 is about 17704.6082136827. The cubic root of 313453152 is about 679.2936379035.

The spelling of 313453152 in words is "three hundred thirteen million, four hundred fifty-three thousand, one hundred fifty-two".