133408 has 24 divisors (see below), whose sum is σ = 287280. Its totient is φ = 60480.

The previous prime is 133403. The next prime is 133417. The reversal of 133408 is 804331.

It is not an unprimeable number, because it can be changed into a prime (133403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2¹³³⁴⁰⁸ 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 133408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

133408 is an abundant number, since it is smaller than the sum of its proper divisors (153872).

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

133408 is a wasteful number, since it uses less digits than its factorization.

133408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 133408 is about 365.2505989044. The cubic root of 133408 is about 51.0968300085.

Adding to 133408 its reverse (804331), we get a palindrome (937739).

The spelling of 133408 in words is "one hundred thirty-three thousand, four hundred eight".