133142144 has 32 divisors (see below), whose sum is σ = 266628000. Its totient is φ = 66223872.

The previous prime is 133142143. The next prime is 133142159. The reversal of 133142144 is 441241331.

133142144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133142143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22859 + ... + 28085.

It is an arithmetic number, because the mean of its divisors is an integer number (8332125).

Almost surely, 2^133142144 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 133142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133314000).

133142144 is an abundant number, since it is smaller than the sum of its proper divisors (133485856).

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

133142144 is an equidigital number, since it uses as much as digits as its factorization.

133142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5428 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 133142144 is about 11538.7236729198. The cubic root of 133142144 is about 510.6286544735.

Adding to 133142144 its reverse (441241331), we get a palindrome (574383475).

The spelling of 133142144 in words is "one hundred thirty-three million, one hundred forty-two thousand, one hundred forty-four".