315136656000 has 320 divisors, whose sum is σ = 1170431107560. Its totient is φ = 84036096000.

The previous prime is 315136655971. The next prime is 315136656007. The reversal of 315136656000 is 656631513.

315136656000 is a `hidden beast` number, since 3 + 15 + 1 + 36 + 6 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50043479616 + 265093176384 = 223704^2 + 514872^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×315136656000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (315136656007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1174420 + ... + 1417580.

Almost surely, 2^315136656000 is an apocalyptic number.

315136656000 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 315136656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585215553780).

315136656000 is an abundant number, since it is smaller than the sum of its proper divisors (855294451560).

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

315136656000 is an equidigital number, since it uses as much as digits as its factorization.

315136656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243202 (or 243171 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 315136656000 in words is "three hundred fifteen billion, one hundred thirty-six million, six hundred fifty-six thousand".