319042152 has 240 divisors, whose sum is σ = 1061172420. Its totient is φ = 88957440.

The previous prime is 319042151. The next prime is 319042153. The reversal of 319042152 is 251240913.

319042152 is a `hidden beast` number, since 3 + 190 + 421 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (319042151) and next prime (319042153).

It can be written as a sum of positive squares in 2 ways, for example, as 232440516 + 86601636 = 15246^2 + 9306^2 .

It is a super-2 number, since 2×319042152² = 203575789505582208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319042151) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1019148 + ... + 1019460.

Almost surely, 2^319042152 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 319042152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530586210).

319042152 is an abundant number, since it is smaller than the sum of its proper divisors (742130268).

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

319042152 is a wasteful number, since it uses less digits than its factorization.

319042152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 319042152 is about 17861.7510899688. The cubic root of 319042152 is about 683.3072395086.

The spelling of 319042152 in words is "three hundred nineteen million, forty-two thousand, one hundred fifty-two".