144316128 has 96 divisors (see below), whose sum is σ = 437633280. Its totient is φ = 41154560.

The previous prime is 144316121. The next prime is 144316141. The reversal of 144316128 is 821613441.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 144316095 and 144316104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144316121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13933 + ... + 21971.

It is an arithmetic number, because the mean of its divisors is an integer number (4558680).

Almost surely, 2^144316128 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 144316128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218816640).

144316128 is an abundant number, since it is smaller than the sum of its proper divisors (293317152).

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

144316128 is a wasteful number, since it uses less digits than its factorization.

144316128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 8072 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 144316128 is about 12013.1647786917. The cubic root of 144316128 is about 524.5315585656.

Adding to 144316128 its reverse (821613441), we get a palindrome (965929569).

It can be divided in two parts, 1443 and 16128, that added together give a palindrome (17571).

The spelling of 144316128 in words is "one hundred forty-four million, three hundred sixteen thousand, one hundred twenty-eight".