133871101056000 has 8448 divisors, whose sum is σ = 684974803968000. Its totient is φ = 25138003968000.

The previous prime is 133871101055927. The next prime is 133871101056079. The reversal of 133871101056000 is 650101178331.

133871101056000 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 71 + 10 + 10 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1612904831959 + ... + 1612904832041.

Almost surely, 2^{133871101056000} is an apocalyptic number.

133871101056000 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 133871101056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342487401984000).

133871101056000 is an abundant number, since it is smaller than the sum of its proper divisors (551103702912000).

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

133871101056000 is a wasteful number, since it uses less digits than its factorization.

133871101056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 133871101056000 in words is "one hundred thirty-three trillion, eight hundred seventy-one billion, one hundred one million, fifty-six thousand".