133163076631200 has 1728 divisors, whose sum is σ = 563090215919616. Its totient is φ = 27017088000000.

The previous prime is 133163076631177. The next prime is 133163076631253. The reversal of 133163076631200 is 2136670361331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28028428825 + ... + 28028433575.

It is an arithmetic number, because the mean of its divisors is an integer number (325862393472).

Almost surely, 2^{133163076631200} is an apocalyptic number.

133163076631200 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 133163076631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281545107959808).

133163076631200 is an abundant number, since it is smaller than the sum of its proper divisors (429927139288416).

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

133163076631200 is a wasteful number, since it uses less digits than its factorization.

133163076631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The spelling of 133163076631200 in words is "one hundred thirty-three trillion, one hundred sixty-three billion, seventy-six million, six hundred thirty-one thousand, two hundred".