133168 has 40 divisors (see below), whose sum is σ = 312480. Its totient is φ = 53760.

The previous prime is 133157. The next prime is 133169. The reversal of 133168 is 861331.

It is not an unprimeable number, because it can be changed into a prime (133169) by changing a digit.

133168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3228 + ... + 3268.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹³³¹⁶⁸ 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 133168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

133168 is an abundant number, since it is smaller than the sum of its proper divisors (179312).

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

133168 is a wasteful number, since it uses less digits than its factorization.

133168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 133168 is about 364.9219094546. The cubic root of 133168 is about 51.0661706768.

Adding to 133168 its reverse (861331), we get a palindrome (994499).

The spelling of 133168 in words is "one hundred thirty-three thousand, one hundred sixty-eight".