315157080 has 128 divisors (see below), whose sum is σ = 1101081600. Its totient is φ = 70666752.

The previous prime is 315157069. The next prime is 315157093. The reversal of 315157080 is 80751513.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40981 + ... + 48059.

It is an arithmetic number, because the mean of its divisors is an integer number (8602200).

Almost surely, 2^315157080 is an apocalyptic number.

315157080 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 315157080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550540800).

315157080 is an abundant number, since it is smaller than the sum of its proper divisors (785924520).

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

315157080 is a wasteful number, since it uses less digits than its factorization.

315157080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 315157080 is about 17752.6640254357. The cubic root of 315157080 is about 680.5222919321.

The spelling of 315157080 in words is "three hundred fifteen million, one hundred fifty-seven thousand, eighty".