133248 has 32 divisors (see below), whose sum is σ = 354960. Its totient is φ = 44288.

The previous prime is 133241. The next prime is 133253. The reversal of 133248 is 842331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133248.

It is not an unprimeable number, because it can be changed into a prime (133241) by changing a digit.

133248 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211 + ... + 557.

2¹³³²⁴⁸ 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 133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177480).

133248 is an abundant number, since it is smaller than the sum of its proper divisors (221712).

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

133248 is an equidigital number, since it uses as much as digits as its factorization.

133248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 133248 is about 365.0315054896. The cubic root of 133248 is about 51.0763945440.

Adding to 133248 its reverse (842331), we get a palindrome (975579).

It can be divided in two parts, 1332 and 48, that multiplied together give a palindrome (63936).

The spelling of 133248 in words is "one hundred thirty-three thousand, two hundred forty-eight".