133968 has 20 divisors (see below), whose sum is σ = 346208. Its totient is φ = 44640.

The previous prime is 133967. The next prime is 133979. The reversal of 133968 is 869331.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133963) 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, 1348 + ... + 1443.

2¹³³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

133968 is an abundant number, since it is smaller than the sum of its proper divisors (212240).

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

133968 is a wasteful number, since it uses less digits than its factorization.

133968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2796 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 133968 is about 366.0163930755. The cubic root of 133968 is about 51.1682257280.

The spelling of 133968 in words is "one hundred thirty-three thousand, nine hundred sixty-eight".