319136972 has 48 divisors (see below), whose sum is σ = 703261440. Its totient is φ = 123096000.

The previous prime is 319136929. The next prime is 319137031. The reversal of 319136972 is 279631913.

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, 25979 + ... + 36237.

It is an arithmetic number, because the mean of its divisors is an integer number (14651280).

Almost surely, 2^319136972 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 319136972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

319136972 is an abundant number, since it is smaller than the sum of its proper divisors (384124468).

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

319136972 is a wasteful number, since it uses less digits than its factorization.

319136972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10382 (or 10380 counting only the distinct ones).

The product of its digits is 61236, while the sum is 41.

The square root of 319136972 is about 17864.4051678191. The cubic root of 319136972 is about 683.3749262541.

The spelling of 319136972 in words is "three hundred nineteen million, one hundred thirty-six thousand, nine hundred seventy-two".