133312446203904 has 1344 divisors, whose sum is σ = 458779819155840. Its totient is φ = 38340034560000.

The previous prime is 133312446203851. The next prime is 133312446203933. The reversal of 133312446203904 is 409302644213331.

133312446203904 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 12 + 4 + 4 + 620 + 3 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133312446203904.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24913554829 + ... + 24913560179.

It is an arithmetic number, because the mean of its divisors is an integer number (341354032110).

Almost surely, 2^{133312446203904} 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 133312446203904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229389909577920).

133312446203904 is an abundant number, since it is smaller than the sum of its proper divisors (325467372951936).

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

133312446203904 is an equidigital number, since it uses as much as digits as its factorization.

133312446203904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 133312446203904 in words is "one hundred thirty-three trillion, three hundred twelve billion, four hundred forty-six million, two hundred three thousand, nine hundred four".