315133152 has 48 divisors (see below), whose sum is σ = 828171792. Its totient is φ = 104924160.

The previous prime is 315133139. The next prime is 315133171. The reversal of 315133152 is 251331513.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×315133152³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131388 + ... + 133764.

It is an arithmetic number, because the mean of its divisors is an integer number (17253579).

Almost surely, 2^315133152 is an apocalyptic number.

315133152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

315133152 is an abundant number, since it is smaller than the sum of its proper divisors (513038640).

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

315133152 is a wasteful number, since it uses less digits than its factorization.

315133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3763 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 315133152 is about 17751.9900856214. The cubic root of 315133152 is about 680.5050688281.

Adding to 315133152 its reverse (251331513), we get a palindrome (566464665).

The spelling of 315133152 in words is "three hundred fifteen million, one hundred thirty-three thousand, one hundred fifty-two".