133200424 has 48 divisors (see below), whose sum is σ = 293436000. Its totient is φ = 56514528.

The previous prime is 133200421. The next prime is 133200433. The reversal of 133200424 is 424002331.

133200424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133200421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38727 + ... + 42025.

It is an arithmetic number, because the mean of its divisors is an integer number (6113250).

Almost surely, 2^133200424 is an apocalyptic number.

133200424 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 133200424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146718000).

133200424 is an abundant number, since it is smaller than the sum of its proper divisors (160235576).

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

133200424 is a wasteful number, since it uses less digits than its factorization.

133200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 133200424 is about 11541.2488059135. The cubic root of 133200424 is about 510.7031490349.

Adding to 133200424 its reverse (424002331), we get a palindrome (557202755).

The spelling of 133200424 in words is "one hundred thirty-three million, two hundred thousand, four hundred twenty-four".