144181128 has 96 divisors (see below), whose sum is σ = 451604160. Its totient is φ = 38021760.

The previous prime is 144181123. The next prime is 144181159. The reversal of 144181128 is 821181441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144181095 and 144181104.

It is not an unprimeable number, because it can be changed into a prime (144181123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10573 + ... + 20003.

It is an arithmetic number, because the mean of its divisors is an integer number (4704210).

Almost surely, 2^144181128 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 144181128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225802080).

144181128 is an abundant number, since it is smaller than the sum of its proper divisors (307423032).

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

144181128 is a wasteful number, since it uses less digits than its factorization.

144181128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467 (or 9456 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 144181128 is about 12007.5446282743. The cubic root of 144181128 is about 524.3679504896.

The spelling of 144181128 in words is "one hundred forty-four million, one hundred eighty-one thousand, one hundred twenty-eight".