133168089600 has 720 divisors, whose sum is σ = 586596122112. Its totient is φ = 28094791680.

The previous prime is 133168089569. The next prime is 133168089601. The reversal of 133168089600 is 6980861331.

It is a happy number.

133168089600 is a `hidden beast` number, since 1 + 3 + 31 + 6 + 8 + 0 + 8 + 9 + 600 = 666.

133168089600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133168089601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10476849 + ... + 10489551.

Almost surely, 2^133168089600 is an apocalyptic number.

133168089600 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 133168089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293298061056).

133168089600 is an abundant number, since it is smaller than the sum of its proper divisors (453428032512).

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

133168089600 is a wasteful number, since it uses less digits than its factorization.

133168089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12757 (or 12733 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 133168089600 in words is "one hundred thirty-three billion, one hundred sixty-eight million, eighty-nine thousand, six hundred".