133068 has 24 divisors (see below), whose sum is σ = 334768. Its totient is φ = 40896.

The previous prime is 133051. The next prime is 133069. The reversal of 133068 is 860331.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (133069) by changing a digit.

133068 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, 271 + ... + 582.

2¹³³⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

133068 is an abundant number, since it is smaller than the sum of its proper divisors (201700).

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

133068 is a wasteful number, since it uses less digits than its factorization.

133068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 133068 is about 364.7848681072. The cubic root of 133068 is about 51.0533850830.

Adding to 133068 its reverse (860331), we get a palindrome (993399).

It can be divided in two parts, 13 and 3068, that added together give a triangular number (3081 = T₇₈).

The spelling of 133068 in words is "one hundred thirty-three thousand, sixty-eight".