133308 has 54 divisors (see below), whose sum is σ = 402584. Its totient is φ = 36432.

The previous prime is 133303. The next prime is 133319. The reversal of 133308 is 803331.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 5785 + ... + 5807.

2¹³³³⁰⁸ is an apocalyptic number.

133308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201292).

133308 is an abundant number, since it is smaller than the sum of its proper divisors (269276).

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

133308 is a wasteful number, since it uses less digits than its factorization.

133308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133308 is about 365.1136809269. The cubic root of 133308 is about 51.0840597593.

Adding to 133308 its reverse (803331), we get a palindrome (936639).

It can be divided in two parts, 133 and 308, that added together give a square (441 = 21²).

The spelling of 133308 in words is "one hundred thirty-three thousand, three hundred eight".