133363296000 has 1296 divisors, whose sum is σ = 545802697440. Its totient is φ = 31223808000.

The previous prime is 133363295999. The next prime is 133363296007. The reversal of 133363296000 is 692363331.

133363296000 is a `hidden beast` number, since 1 + 3 + 3 + 363 + 296 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133363296007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1498463956 + ... + 1498464044.

Almost surely, 2^133363296000 is an apocalyptic number.

133363296000 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 133363296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272901348720).

133363296000 is an abundant number, since it is smaller than the sum of its proper divisors (412439401440).

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

133363296000 is a wasteful number, since it uses less digits than its factorization.

133363296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 133363296000 in words is "one hundred thirty-three billion, three hundred sixty-three million, two hundred ninety-six thousand".