315133200 has 120 divisors (see below), whose sum is σ = 1121679200. Its totient is φ = 84032640.

The previous prime is 315133193. The next prime is 315133213. The reversal of 315133200 is 2331513.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3790 + ... + 25389.

Almost surely, 2^315133200 is an apocalyptic number.

315133200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560839600).

315133200 is an abundant number, since it is smaller than the sum of its proper divisors (806546000).

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

315133200 is a wasteful number, since it uses less digits than its factorization.

315133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29206 (or 29189 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 315133200 is about 17751.9914375824. The cubic root of 315133200 is about 680.5051033788.

Adding to 315133200 its reverse (2331513), we get a palindrome (317464713).

The spelling of 315133200 in words is "three hundred fifteen million, one hundred thirty-three thousand, two hundred".