315964152 has 288 divisors, whose sum is σ = 1075576320. Its totient is φ = 86546880.

The previous prime is 315964141. The next prime is 315964153. The reversal of 315964152 is 251469513.

315964152 is a `hidden beast` number, since 3 + 1 + 5 + 9 + 641 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32400) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315964153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2952883 + ... + 2952989.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^315964152 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 315964152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

315964152 is an abundant number, since it is smaller than the sum of its proper divisors (759612168).

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

315964152 is a wasteful number, since it uses less digits than its factorization.

315964152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 315964152 is about 17775.3805022565. The cubic root of 315964152 is about 681.1027033676.

The spelling of 315964152 in words is "three hundred fifteen million, nine hundred sixty-four thousand, one hundred fifty-two".