133306392960 has 768 divisors, whose sum is σ = 509448139200. Its totient is φ = 31921274880.

The previous prime is 133306392953. The next prime is 133306393007. The reversal of 133306392960 is 69293603331.

133306392960 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 639 + 2 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 553138440 + ... + 553138680.

Almost surely, 2^133306392960 is an apocalyptic number.

133306392960 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 133306392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254724069600).

133306392960 is an abundant number, since it is smaller than the sum of its proper divisors (376141746240).

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

133306392960 is a wasteful number, since it uses less digits than its factorization.

133306392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 133306392960 in words is "one hundred thirty-three billion, three hundred six million, three hundred ninety-two thousand, nine hundred sixty".