133368 has 16 divisors (see below), whose sum is σ = 333480. Its totient is φ = 44448.

The previous prime is 133351. The next prime is 133379. The reversal of 133368 is 863331.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5557 = 133368 / (1 + 3 + 3 + 3 + 6 + 8).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2755 + ... + 2802.

2¹³³³⁶⁸ is an apocalyptic number.

It is an amenable number.

133368 is an abundant number, since it is smaller than the sum of its proper divisors (200112).

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

133368 is a wasteful number, since it uses less digits than its factorization.

133368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5562 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 133368 is about 365.1958378733. The cubic root of 133368 is about 51.0917226748.

Adding to 133368 its reverse (863331), we get a palindrome (996699).

The spelling of 133368 in words is "one hundred thirty-three thousand, three hundred sixty-eight".