133008 has 40 divisors (see below), whose sum is σ = 366048. Its totient is φ = 41472.

The previous prime is 132989. The next prime is 133013. The reversal of 133008 is 800331.

It is a super-2 number, since 2×133008² = 35382256128, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735 + ... + 897.

2¹³³⁰⁰⁸ 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 133008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183024).

133008 is an abundant number, since it is smaller than the sum of its proper divisors (233040).

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

133008 is a wasteful number, since it uses less digits than its factorization.

133008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 133008 is about 364.7026185812. The cubic root of 133008 is about 51.0457106519.

Adding to 133008 its reverse (800331), we get a palindrome (933339).

The spelling of 133008 in words is "one hundred thirty-three thousand, eight".