133134249600 has 576 divisors, whose sum is σ = 522966974400. Its totient is φ = 31980748800.

The previous prime is 133134249553. The next prime is 133134249613. The reversal of 133134249600 is 6942431331.

133134249600 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 4 + 2 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35796541 + ... + 35800259.

It is an arithmetic number, because the mean of its divisors is an integer number (907928775).

Almost surely, 2^133134249600 is an apocalyptic number.

133134249600 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 133134249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261483487200).

133134249600 is an abundant number, since it is smaller than the sum of its proper divisors (389832724800).

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

133134249600 is a wasteful number, since it uses less digits than its factorization.

133134249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 133134249600 in words is "one hundred thirty-three billion, one hundred thirty-four million, two hundred forty-nine thousand, six hundred".