315651536136 has 192 divisors, whose sum is σ = 942499584000. Its totient is φ = 94991149440.

The previous prime is 315651536131. The next prime is 315651536149. The reversal of 315651536136 is 631635156513.

315651536136 is a `hidden beast` number, since 3 + 1 + 56 + 51 + 536 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 315651536091 and 315651536100.

It is not an unprimeable number, because it can be changed into a prime (315651536131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8508235 + ... + 8545253.

It is an arithmetic number, because the mean of its divisors is an integer number (4908852000).

Almost surely, 2^315651536136 is an apocalyptic number.

315651536136 is a gapful number since it is divisible by the number (36) 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 315651536136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471249792000).

315651536136 is an abundant number, since it is smaller than the sum of its proper divisors (626848047864).

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

315651536136 is a wasteful number, since it uses less digits than its factorization.

315651536136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37344 (or 37337 counting only the distinct ones).

The product of its digits is 729000, while the sum is 45.

The spelling of 315651536136 in words is "three hundred fifteen billion, six hundred fifty-one million, five hundred thirty-six thousand, one hundred thirty-six".