315876132000 has 1536 divisors, whose sum is σ = 1370284231680. Its totient is φ = 69672960000.

The previous prime is 315876131999. The next prime is 315876132041. The reversal of 315876132000 is 231678513.

315876132000 is a `hidden beast` number, since 3 + 15 + 8 + 7 + 613 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1745171910 + ... + 1745172090.

It is an arithmetic number, because the mean of its divisors is an integer number (892112130).

Almost surely, 2^315876132000 is an apocalyptic number.

315876132000 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 315876132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685142115840).

315876132000 is an abundant number, since it is smaller than the sum of its proper divisors (1054408099680).

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

315876132000 is a wasteful number, since it uses less digits than its factorization.

315876132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 315876132000 in words is "three hundred fifteen billion, eight hundred seventy-six million, one hundred thirty-two thousand".