133696800 has 216 divisors, whose sum is σ = 487468800. Its totient is φ = 34444800.

The previous prime is 133696747. The next prime is 133696807. The reversal of 133696800 is 8696331.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (133696807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222901 + ... + 223499.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 2^133696800 is an apocalyptic number.

133696800 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 133696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

133696800 is an abundant number, since it is smaller than the sum of its proper divisors (353772000).

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

133696800 is a wasteful number, since it uses less digits than its factorization.

133696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 133696800 is about 11562.7332408908. The cubic root of 133696800 is about 511.3367469767.

The spelling of 133696800 in words is "one hundred thirty-three million, six hundred ninety-six thousand, eight hundred".