133768 has 16 divisors (see below), whose sum is σ = 262080. Its totient is φ = 63888.

The previous prime is 133733. The next prime is 133769. The reversal of 133768 is 867331.

Its product of digits (3024) is a multiple of the sum of its prime factors (756).

It is not an unprimeable number, because it can be changed into a prime (133769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180 + ... + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2¹³³⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

133768 is a deficient number, since it is larger than the sum of its proper divisors (128312).

133768 is a wasteful number, since it uses less digits than its factorization.

133768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 133768 is about 365.7430792237. The cubic root of 133768 is about 51.1427501369.

It can be divided in two parts, 13 and 3768, that multiplied together give a palindrome (48984).

The spelling of 133768 in words is "one hundred thirty-three thousand, seven hundred sixty-eight".