133101447415200 has 1152 divisors, whose sum is σ = 529315184160000. Its totient is φ = 32011374182400.

The previous prime is 133101447415193. The next prime is 133101447415231. The reversal of 133101447415200 is 2514744101331.

133101447415200 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 1 + 447 + 4 + 1 + 5 + 200 = 666.

It is a super-2 number, since 2×133101447415200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37845163842 + ... + 37845167358.

It is an arithmetic number, because the mean of its divisors is an integer number (459474986250).

Almost surely, 2^{133101447415200} is an apocalyptic number.

133101447415200 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 133101447415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264657592080000).

133101447415200 is an abundant number, since it is smaller than the sum of its proper divisors (396213736744800).

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

133101447415200 is a wasteful number, since it uses less digits than its factorization.

133101447415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 133101447415200 in words is "one hundred thirty-three trillion, one hundred one billion, four hundred forty-seven million, four hundred fifteen thousand, two hundred".