319152 has 40 divisors (see below), whose sum is σ = 845680. Its totient is φ = 103680.

The previous prime is 319147. The next prime is 319159. The reversal of 319152 is 251913.

319152 is nontrivially palindromic in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319159) by changing a digit.

319152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2874 + ... + 2982.

It is an arithmetic number, because the mean of its divisors is an integer number (21142).

2³¹⁹¹⁵² 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 319152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422840).

319152 is an abundant number, since it is smaller than the sum of its proper divisors (526528).

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

319152 is a wasteful number, since it uses less digits than its factorization.

319152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 319152 is about 564.9353945364. The cubic root of 319152 is about 68.3385652680.

The spelling of 319152 in words is "three hundred nineteen thousand, one hundred fifty-two".