133080320 has 36 divisors (see below), whose sum is σ = 318772020. Its totient is φ = 53231616.

The previous prime is 133080263. The next prime is 133080347. The reversal of 133080320 is 23080331.

133080320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47554816 + 85525504 = 6896^2 + 9248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133080292 and 133080301.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 50705 + ... + 53264.

Almost surely, 2^133080320 is an apocalyptic number.

133080320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133080320 is an abundant number, since it is smaller than the sum of its proper divisors (185691700).

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

133080320 is an equidigital number, since it uses as much as digits as its factorization.

133080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103990 (or 103976 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 133080320 is about 11536.0443827163. The cubic root of 133080320 is about 510.5496061407.

The spelling of 133080320 in words is "one hundred thirty-three million, eighty thousand, three hundred twenty".