133089 has 16 divisors (see below), whose sum is σ = 200640. Its totient is φ = 77760.

The previous prime is 133087. The next prime is 133097. The reversal of 133089 is 980331.

It is not a de Polignac number, because 133089 - 2¹ = 133087 is a prime.

133089 is a lucky number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (12540).

2¹³³⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

133089 is a deficient number, since it is larger than the sum of its proper divisors (67551).

133089 is a wasteful number, since it uses less digits than its factorization.

133089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 133089 is about 364.8136510604. The cubic root of 133089 is about 51.0560705889.

The spelling of 133089 in words is "one hundred thirty-three thousand, eighty-nine".