133464 has 32 divisors (see below), whose sum is σ = 342720. Its totient is φ = 43296.

The previous prime is 133451. The next prime is 133481. The reversal of 133464 is 464331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1567 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2¹³³⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

133464 is an abundant number, since it is smaller than the sum of its proper divisors (209256).

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

133464 is a wasteful number, since it uses less digits than its factorization.

133464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 133464 is about 365.3272505576. The cubic root of 133464 is about 51.1039785608.

Adding to 133464 its reverse (464331), we get a palindrome (597795).

The spelling of 133464 in words is "one hundred thirty-three thousand, four hundred sixty-four".