133286924304 has 400 divisors, whose sum is σ = 417877004160. Its totient is φ = 40863191040.

The previous prime is 133286924191. The next prime is 133286924311. The reversal of 133286924304 is 403429682331.

133286924304 is a `hidden beast` number, since 1 + 332 + 8 + 6 + 9 + 2 + 4 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133286924304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 217433502 + ... + 217434114.

Almost surely, 2^133286924304 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 133286924304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208938502080).

133286924304 is an abundant number, since it is smaller than the sum of its proper divisors (284590079856).

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

133286924304 is a wasteful number, since it uses less digits than its factorization.

133286924304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 133286924304 in words is "one hundred thirty-three billion, two hundred eighty-six million, nine hundred twenty-four thousand, three hundred four".