133362 has 24 divisors (see below), whose sum is σ = 299520. Its totient is φ = 42840.

The previous prime is 133351. The next prime is 133379. The reversal of 133362 is 263331.

It is a happy number.

133362 is nontrivially palindromic in base 11.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (12480).

2¹³³³⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760).

133362 is an abundant number, since it is smaller than the sum of its proper divisors (166158).

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

133362 is a wasteful number, since it uses less digits than its factorization.

133362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 133362 is about 365.1876230104. The cubic root of 133362 is about 51.0909564867.

Adding to 133362 its reverse (263331), we get a palindrome (396693).

It can be divided in two parts, 13 and 3362, that added together give a cube (3375 = 15³).

The spelling of 133362 in words is "one hundred thirty-three thousand, three hundred sixty-two".