144328128 has 252 divisors, whose sum is σ = 480380040. Its totient is φ = 38083584.

The previous prime is 144328111. The next prime is 144328139. The reversal of 144328128 is 821823441.

144328128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (12288) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4976818 + ... + 4976846.

It is an arithmetic number, because the mean of its divisors is an integer number (1906270).

Almost surely, 2^144328128 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 144328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240190020).

144328128 is an abundant number, since it is smaller than the sum of its proper divisors (336051912).

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

144328128 is a wasteful number, since it uses less digits than its factorization.

144328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 144328128 is about 12013.6642203784. The cubic root of 144328128 is about 524.5460965671.

The spelling of 144328128 in words is "one hundred forty-four million, three hundred twenty-eight thousand, one hundred twenty-eight".