133328 has 20 divisors (see below), whose sum is σ = 278628. Its totient is φ = 61440.

The previous prime is 133327. The next prime is 133337. The reversal of 133328 is 823331.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 61504 = 268^2 + 248^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133321) 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 3 ways as a sum of consecutive naturals, for example, 113 + ... + 528.

2¹³³³²⁸ is an apocalyptic number.

It is an amenable number.

133328 is an abundant number, since it is smaller than the sum of its proper divisors (145300).

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

133328 is a wasteful number, since it uses less digits than its factorization.

133328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 133328 is about 365.1410686296. The cubic root of 133328 is about 51.0866143199.

Adding to 133328 its reverse (823331), we get a palindrome (956659).

It can be divided in two parts, 13 and 3328, that multiplied together give a square (43264 = 208²).

The spelling of 133328 in words is "one hundred thirty-three thousand, three hundred twenty-eight".