133080 has 32 divisors (see below), whose sum is σ = 399600. Its totient is φ = 35456.

The previous prime is 133073. The next prime is 133087. The reversal of 133080 is 80331.

It is an interprime number because it is at equal distance from previous prime (133073) and next prime (133087).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133087) by changing a digit.

133080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435 + ... + 674.

2¹³³⁰⁸⁰ is an apocalyptic number.

133080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133080 is an abundant number, since it is smaller than the sum of its proper divisors (266520).

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

133080 is a wasteful number, since it uses less digits than its factorization.

133080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 133080 is about 364.8013157871. The cubic root of 133080 is about 51.0549196924.

The spelling of 133080 in words is "one hundred thirty-three thousand, eighty".