133094707200 has 1872 divisors, whose sum is σ = 629074042240. Its totient is φ = 26860584960.

The previous prime is 133094707159. The next prime is 133094707219. The reversal of 133094707200 is 2707490331.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5786726389 + ... + 5786726411.

Almost surely, 2^133094707200 is an apocalyptic number.

133094707200 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 133094707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314537021120).

133094707200 is an abundant number, since it is smaller than the sum of its proper divisors (495979335040).

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

133094707200 is a wasteful number, since it uses less digits than its factorization.

133094707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 133094707200 in words is "one hundred thirty-three billion, ninety-four million, seven hundred seven thousand, two hundred".