133164 has 36 divisors (see below), whose sum is σ = 351624. Its totient is φ = 44064.

The previous prime is 133157. The next prime is 133169. The reversal of 133164 is 461331.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (133169) by changing a digit.

133164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 904 + ... + 1040.

2¹³³¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175812).

133164 is an abundant number, since it is smaller than the sum of its proper divisors (218460).

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

133164 is a wasteful number, since it uses less digits than its factorization.

133164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 133164 is about 364.9164287888. The cubic root of 133164 is about 51.0656593759.

Adding to 133164 its reverse (461331), we get a palindrome (594495).

It can be divided in two parts, 1331 and 64, that multiplied together give a cube (85184 = 44³).

The spelling of 133164 in words is "one hundred thirty-three thousand, one hundred sixty-four".