128144 has 10 divisors (see below), whose sum is σ = 248310. Its totient is φ = 64064.

The previous prime is 128119. The next prime is 128147. The reversal of 128144 is 441821.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 12544 = 340^2 + 112^2 .

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

128144 is a modest number, since divided by 144 gives 128 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 128144.

It is not an unprimeable number, because it can be changed into a prime (128147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3989 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (24831).

2¹²⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

128144 is a deficient number, since it is larger than the sum of its proper divisors (120166).

128144 is an equidigital number, since it uses as much as digits as its factorization.

128144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8017 (or 8011 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 128144 is about 357.9720659493. The cubic root of 128144 is about 50.4157337289.

Adding to 128144 its sum of digits (20), we get a square (128164 = 358²).

Adding to 128144 its reverse (441821), we get a palindrome (569965).

It can be divided in two parts, 128 and 144, that added together give a palindrome (272).

The spelling of 128144 in words is "one hundred twenty-eight thousand, one hundred forty-four".