133413224 has 64 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 54641664.

The previous prime is 133413211. The next prime is 133413233. The reversal of 133413224 is 422314331.

It is a super-3 number, since 3×133413224³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133413224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183149 + ... + 183875.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^133413224 is an apocalyptic number.

133413224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

133413224 is an abundant number, since it is smaller than the sum of its proper divisors (165357976).

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

133413224 is a wasteful number, since it uses less digits than its factorization.

133413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 133413224 is about 11550.4642330947. The cubic root of 133413224 is about 510.9749695091.

Adding to 133413224 its reverse (422314331), we get a palindrome (555727555).

The spelling of 133413224 in words is "one hundred thirty-three million, four hundred thirteen thousand, two hundred twenty-four".