133709360 has 80 divisors (see below), whose sum is σ = 325264896. Its totient is φ = 51066624.

The previous prime is 133709351. The next prime is 133709371. The reversal of 133709360 is 63907331.

133709360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161267 + ... + 162093.

Almost surely, 2^133709360 is an apocalyptic number.

133709360 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 133709360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162632448).

133709360 is an abundant number, since it is smaller than the sum of its proper divisors (191555536).

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

133709360 is a wasteful number, since it uses less digits than its factorization.

133709360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 32.

The square root of 133709360 is about 11563.2763523147. The cubic root of 133709360 is about 511.3527587995.

The spelling of 133709360 in words is "one hundred thirty-three million, seven hundred nine thousand, three hundred sixty".