133523424 has 144 divisors (see below), whose sum is σ = 408466800. Its totient is φ = 42384384.

The previous prime is 133523419. The next prime is 133523459. The reversal of 133523424 is 424325331.

133523424 is a `hidden beast` number, since 133 + 523 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1829052 + ... + 1829124.

It is an arithmetic number, because the mean of its divisors is an integer number (2836575).

Almost surely, 2^133523424 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 133523424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204233400).

133523424 is an abundant number, since it is smaller than the sum of its proper divisors (274943376).

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

133523424 is an equidigital number, since it uses as much as digits as its factorization.

133523424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 107 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 133523424 is about 11555.2336194471. The cubic root of 133523424 is about 511.1156200960.

Adding to 133523424 its reverse (424325331), we get a palindrome (557848755).

The spelling of 133523424 in words is "one hundred thirty-three million, five hundred twenty-three thousand, four hundred twenty-four".