133284 has 24 divisors (see below), whose sum is σ = 322560. Its totient is φ = 42784.

The previous prime is 133283. The next prime is 133303. The reversal of 133284 is 482331.

It is a happy number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 133284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133283) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 157 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2¹³³²⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

133284 is an abundant number, since it is smaller than the sum of its proper divisors (189276).

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

133284 is a wasteful number, since it uses less digits than its factorization.

133284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 133284 is about 365.0808129716. The cubic root of 133284 is about 51.0809939492.

The spelling of 133284 in words is "one hundred thirty-three thousand, two hundred eighty-four".