133472 has 24 divisors (see below), whose sum is σ = 271656. Its totient is φ = 64512.

The previous prime is 133451. The next prime is 133481. The reversal of 133472 is 274331.

It is a super-3 number, since 3×133472³ = 7133320859910144, which contains 333 as substring.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 1328 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (11319).

2¹³³⁴⁷² 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 133472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135828).

133472 is an abundant number, since it is smaller than the sum of its proper divisors (138184).

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

133472 is an equidigital number, since it uses as much as digits as its factorization.

133472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 133472 is about 365.3381994810. The cubic root of 133472 is about 51.1049996193.

The spelling of 133472 in words is "one hundred thirty-three thousand, four hundred seventy-two".