319360132 has 96 divisors (see below), whose sum is σ = 736897280. Its totient is φ = 117573120.

The previous prime is 319360103. The next prime is 319360141. The reversal of 319360132 is 231063913.

319360132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×319360132² = 203981787822114848, which contains 22 as substring.

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 319360132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421498 + ... + 422254.

Almost surely, 2^319360132 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 319360132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368448640).

319360132 is an abundant number, since it is smaller than the sum of its proper divisors (417537148).

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

319360132 is a wasteful number, since it uses less digits than its factorization.

319360132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 319360132 is about 17870.6500161578. The cubic root of 319360132 is about 683.5341749252.

The spelling of 319360132 in words is "three hundred nineteen million, three hundred sixty thousand, one hundred thirty-two".