133484 has 24 divisors (see below), whose sum is σ = 268128. Its totient is φ = 57600.

The previous prime is 133481. The next prime is 133493. The reversal of 133484 is 484331.

133484 = T₁₅ + T₁₆ + ... + T₉₂.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 809 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2¹³³⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

133484 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

133484 is a wasteful number, since it uses less digits than its factorization.

133484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 133484 is about 365.3546222508. The cubic root of 133484 is about 51.1065311306.

The spelling of 133484 in words is "one hundred thirty-three thousand, four hundred eighty-four".