133434144 has 36 divisors (see below), whose sum is σ = 379454166. Its totient is φ = 44477952.

The previous prime is 133434121. The next prime is 133434149. The reversal of 133434144 is 441434331.

It can be written as a sum of positive squares in only one way, i.e., 120560400 + 12873744 = 10980^2 + 3588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (133434149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 231369 + ... + 231944.

Almost surely, 2^133434144 is an apocalyptic number.

It is an amenable number.

133434144 is an abundant number, since it is smaller than the sum of its proper divisors (246020022).

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

133434144 is a wasteful number, since it uses less digits than its factorization.

133434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463329 (or 463318 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 133434144 is about 11551.3697889038. The cubic root of 133434144 is about 511.0016761012.

Adding to 133434144 its reverse (441434331), we get a palindrome (574868475).

The spelling of 133434144 in words is "one hundred thirty-three million, four hundred thirty-four thousand, one hundred forty-four".