133984 has 24 divisors (see below), whose sum is σ = 272160. Its totient is φ = 64896.

The previous prime is 133981. The next prime is 133993. The reversal of 133984 is 489331.

133984 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133981) 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, 1657 + ... + 1735.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹³³⁹⁸⁴ 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 133984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

133984 is an abundant number, since it is smaller than the sum of its proper divisors (138176).

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

133984 is an equidigital number, since it uses as much as digits as its factorization.

133984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 133984 is about 366.0382493675. The cubic root of 133984 is about 51.1702626796.

Subtracting from 133984 its sum of digits (28), we obtain a square (133956 = 366²).

The spelling of 133984 in words is "one hundred thirty-three thousand, nine hundred eighty-four".