133516800 has 360 divisors, whose sum is σ = 511213560. Its totient is φ = 33177600.

The previous prime is 133516777. The next prime is 133516807. The reversal of 133516800 is 8615331.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133516807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2188770 + ... + 2188830.

Almost surely, 2^133516800 is an apocalyptic number.

133516800 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 133516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255606780).

133516800 is an abundant number, since it is smaller than the sum of its proper divisors (377696760).

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

133516800 is a wasteful number, since it uses less digits than its factorization.

133516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 133516800 is about 11554.9469925223. The cubic root of 133516800 is about 511.1071679315.

The spelling of 133516800 in words is "one hundred thirty-three million, five hundred sixteen thousand, eight hundred".