315138434760 has 640 divisors, whose sum is σ = 1125328343040. Its totient is φ = 78979276800.

The previous prime is 315138434731. The next prime is 315138434773. The reversal of 315138434760 is 67434831513.

315138434760 is a `hidden beast` number, since 3 + 1 + 5 + 138 + 43 + 476 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1137683742 + ... + 1137684018.

It is an arithmetic number, because the mean of its divisors is an integer number (1758325536).

Almost surely, 2^315138434760 is an apocalyptic number.

315138434760 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 315138434760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562664171520).

315138434760 is an abundant number, since it is smaller than the sum of its proper divisors (810189908280).

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

315138434760 is a wasteful number, since it uses less digits than its factorization.

315138434760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 315138434760 in words is "three hundred fifteen billion, one hundred thirty-eight million, four hundred thirty-four thousand, seven hundred sixty".