133353997056000 has 9216 divisors, whose sum is σ = 679549118976000. Its totient is φ = 25505877196800.

The previous prime is 133353997055999. The next prime is 133353997056029. The reversal of 133353997056000 is 650799353331.

133353997056000 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 5 + 3 + 9 + 9 + 70 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2516113151974 + ... + 2516113152026.

It is an arithmetic number, because the mean of its divisors is an integer number (73735798500).

Almost surely, 2^{133353997056000} is an apocalyptic number.

133353997056000 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 133353997056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339774559488000).

133353997056000 is an abundant number, since it is smaller than the sum of its proper divisors (546195121920000).

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

133353997056000 is a wasteful number, since it uses less digits than its factorization.

133353997056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6889050, while the sum is 54.

The spelling of 133353997056000 in words is "one hundred thirty-three trillion, three hundred fifty-three billion, nine hundred ninety-seven million, fifty-six thousand".