315141520104 has 128 divisors (see below), whose sum is σ = 880152739200. Its totient is φ = 104477506560.

The previous prime is 315141520103. The next prime is 315141520121. The reversal of 315141520104 is 401025141513.

315141520104 is a `hidden beast` number, since 31 + 5 + 1 + 4 + 1 + 520 + 104 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (315141520103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33094864 + ... + 33104384.

It is an arithmetic number, because the mean of its divisors is an integer number (6876193275).

Almost surely, 2^315141520104 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 315141520104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440076369600).

315141520104 is an abundant number, since it is smaller than the sum of its proper divisors (565011219096).

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

315141520104 is a wasteful number, since it uses less digits than its factorization.

315141520104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352 (or 10342 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 315141520104 its reverse (401025141513), we get a palindrome (716166661617).

The spelling of 315141520104 in words is "three hundred fifteen billion, one hundred forty-one million, five hundred twenty thousand, one hundred four".