133680800 has 108 divisors (see below), whose sum is σ = 358973118. Its totient is φ = 48576000.

The previous prime is 133680793. The next prime is 133680803. The reversal of 133680800 is 8086331.

It can be written as a sum of positive squares in 3 ways, for example, as 96275344 + 37405456 = 9812^2 + 6116^2 .

It is a super-3 number, since 3×133680800³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (133680803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96110 + ... + 97490.

Almost surely, 2^133680800 is an apocalyptic number.

133680800 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 133680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179486559).

133680800 is an abundant number, since it is smaller than the sum of its proper divisors (225292318).

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

133680800 is a wasteful number, since it uses less digits than its factorization.

133680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 133680800 is about 11562.0413422544. The cubic root of 133680800 is about 511.3163482976.

The spelling of 133680800 in words is "one hundred thirty-three million, six hundred eighty thousand, eight hundred".