313661152 has 144 divisors (see below), whose sum is σ = 781552800. Its totient is φ = 123432960.

The previous prime is 313661141. The next prime is 313661167. The reversal of 313661152 is 251166313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 313661152.

It is a congruent number.

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, 7650252 + ... + 7650292.

It is an arithmetic number, because the mean of its divisors is an integer number (5427450).

Almost surely, 2^313661152 is an apocalyptic number.

313661152 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 313661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390776400).

313661152 is an abundant number, since it is smaller than the sum of its proper divisors (467891648).

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

313661152 is an equidigital number, since it uses as much as digits as its factorization.

313661152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 67 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 313661152 is about 17710.4814163817. The cubic root of 313661152 is about 679.4438590071.

The spelling of 313661152 in words is "three hundred thirteen million, six hundred sixty-one thousand, one hundred fifty-two".