133266 has 32 divisors (see below), whose sum is σ = 322560. Its totient is φ = 35856.

The previous prime is 133261. The next prime is 133271. The reversal of 133266 is 662331.

133266 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (133261) and next prime (133271).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133261) by changing a digit.

133266 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 15 ways as a sum of consecutive naturals, for example, 715 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹³³²⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

133266 is an abundant number, since it is smaller than the sum of its proper divisors (189294).

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

133266 is a wasteful number, since it uses less digits than its factorization.

133266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its digits is 648, while the sum is 21.

The square root of 133266 is about 365.0561600631. The cubic root of 133266 is about 51.0786943501.

Adding to 133266 its reverse (662331), we get a palindrome (795597).

The spelling of 133266 in words is "one hundred thirty-three thousand, two hundred sixty-six".