133720800 has 72 divisors (see below), whose sum is σ = 435269016. Its totient is φ = 35658240.

The previous prime is 133720787. The next prime is 133720801. The reversal of 133720800 is 8027331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133720801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25459 + ... + 30258.

It is an arithmetic number, because the mean of its divisors is an integer number (6045403).

Almost surely, 2^133720800 is an apocalyptic number.

133720800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133720800 is an abundant number, since it is smaller than the sum of its proper divisors (301548216).

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

133720800 is a wasteful number, since it uses less digits than its factorization.

133720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55740 (or 55727 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 133720800 is about 11563.7710112229. The cubic root of 133720800 is about 511.3673419440.

The spelling of 133720800 in words is "one hundred thirty-three million, seven hundred twenty thousand, eight hundred".