133328144 has 40 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 62120448.

The previous prime is 133328137. The next prime is 133328177. The reversal of 133328144 is 441823331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25637 + ... + 30395.

It is an arithmetic number, because the mean of its divisors is an integer number (6905808).

Almost surely, 2^133328144 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 133328144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

133328144 is an abundant number, since it is smaller than the sum of its proper divisors (142904176).

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

133328144 is a wasteful number, since it uses less digits than its factorization.

133328144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4881 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 133328144 is about 11546.7806768813. The cubic root of 133328144 is about 510.8663271179.

The spelling of 133328144 in words is "one hundred thirty-three million, three hundred twenty-eight thousand, one hundred forty-four".