133092 has 18 divisors (see below), whose sum is σ = 336518. Its totient is φ = 44352.

The previous prime is 133087. The next prime is 133097. The reversal of 133092 is 290331.

It is an interprime number because it is at equal distance from previous prime (133087) and next prime (133097).

It can be written as a sum of positive squares in only one way, i.e., 86436 + 46656 = 294^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133092.

It is not an unprimeable number, because it can be changed into a prime (133097) by changing a digit.

133092 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 5 ways as a sum of consecutive naturals, for example, 1813 + ... + 1884.

2¹³³⁰⁹² is an apocalyptic number.

133092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133092 is an abundant number, since it is smaller than the sum of its proper divisors (203426).

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

133092 is a wasteful number, since it uses less digits than its factorization.

133092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 133092 is about 364.8177627254. The cubic root of 133092 is about 51.0564542096.

The spelling of 133092 in words is "one hundred thirty-three thousand, ninety-two".