133220 has 12 divisors (see below), whose sum is σ = 279804. Its totient is φ = 53280.

The previous prime is 133213. The next prime is 133241. The reversal of 133220 is 22331.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 40804 = 304^2 + 202^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

133220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3311 + ... + 3350.

It is an arithmetic number, because the mean of its divisors is an integer number (23317).

2¹³³²²⁰ is an apocalyptic number.

133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133220 is an abundant number, since it is smaller than the sum of its proper divisors (146584).

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

133220 is a wasteful number, since it uses less digits than its factorization.

133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 133220 is about 364.9931506207. The cubic root of 133220 is about 51.0728166561.

Adding to 133220 its reverse (22331), we get a palindrome (155551).

Subtracting from 133220 its reverse (22331), we obtain a square (110889 = 333²).

It can be divided in two parts, 133 and 220, that added together give a palindrome (353).

The spelling of 133220 in words is "one hundred thirty-three thousand, two hundred twenty".