133344 has 36 divisors (see below), whose sum is σ = 380016. Its totient is φ = 44352.

The previous prime is 133337. The next prime is 133349. The reversal of 133344 is 443331.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 d-powerful number, because it can be written as 1 + 3 + 3⁴ + 3⁷ + 4⁸ + 4⁸ .

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133349) 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 5 ways as a sum of consecutive naturals, for example, 57 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (10556).

2¹³³³⁴⁴ 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 133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190008).

133344 is an abundant number, since it is smaller than the sum of its proper divisors (246672).

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

133344 is a wasteful number, since it uses less digits than its factorization.

133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 133344 is about 365.1629773129. The cubic root of 133344 is about 51.0886577845.

Adding to 133344 its reverse (443331), we get a palindrome (576675).

The spelling of 133344 in words is "one hundred thirty-three thousand, three hundred forty-four".