133664 has 12 divisors (see below), whose sum is σ = 263214. Its totient is φ = 66816.

The previous prime is 133657. The next prime is 133669. The reversal of 133664 is 466331.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 48400 = 292^2 + 220^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133664.

It is not an unprimeable number, because it can be changed into a prime (133669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2057 + ... + 2120.

2¹³³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

133664 is a deficient number, since it is larger than the sum of its proper divisors (129550).

133664 is an equidigital number, since it uses as much as digits as its factorization.

133664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4179 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 133664 is about 365.6008752725. The cubic root of 133664 is about 51.1294927933.

Adding to 133664 its reverse (466331), we get a palindrome (599995).

It can be divided in two parts, 133 and 664, that added together give a palindrome (797).

The spelling of 133664 in words is "one hundred thirty-three thousand, six hundred sixty-four".