180133 has 4 divisors (see below), whose sum is σ = 183148. Its totient is φ = 177120.

The previous prime is 180097. The next prime is 180137. The reversal of 180133 is 331081.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 113569 = 258^2 + 337^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-180133 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1416 + ... + 1537.

It is an arithmetic number, because the mean of its divisors is an integer number (45787).

2¹⁸⁰¹³³ is an apocalyptic number.

It is an amenable number.

180133 is a deficient number, since it is larger than the sum of its proper divisors (3015).

180133 is an equidigital number, since it uses as much as digits as its factorization.

180133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 180133 is about 424.4207817721. The cubic root of 180133 is about 56.4760647305.

It can be divided in two parts, 180 and 133, that added together give a palindrome (313).

The spelling of 180133 in words is "one hundred eighty thousand, one hundred thirty-three".