133465824000 has 864 divisors, whose sum is σ = 501407262720. Its totient is φ = 34062336000.

The previous prime is 133465823989. The next prime is 133465824013. The reversal of 133465824000 is 428564331.

133465824000 is a `hidden beast` number, since 1 + 3 + 34 + 6 + 582 + 40 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1050911937 + ... + 1050912063.

It is an arithmetic number, because the mean of its divisors is an integer number (580332480).

Almost surely, 2^133465824000 is an apocalyptic number.

133465824000 is a gapful number since it is divisible by the number (10) 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 133465824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250703631360).

133465824000 is an abundant number, since it is smaller than the sum of its proper divisors (367941438720).

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

133465824000 is a wasteful number, since it uses less digits than its factorization.

133465824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 133465824000 in words is "one hundred thirty-three billion, four hundred sixty-five million, eight hundred twenty-four thousand".