144228128 has 54 divisors (see below), whose sum is σ = 313734897. Its totient is φ = 65218560.

The previous prime is 144228113. The next prime is 144228131. The reversal of 144228128 is 821822441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 133911184 + 10316944 = 11572^2 + 3212^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8492.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144228094 and 144228103.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 747200 + ... + 747392.

Almost surely, 2^144228128 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 144228128

144228128 is an abundant number, since it is smaller than the sum of its proper divisors (169506769).

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

144228128 is an equidigital number, since it uses as much as digits as its factorization.

144228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 206 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 144228128 is about 12009.5015716723. The cubic root of 144228128 is about 524.4249219222.

Multiplying 144228128 by its sum of digits (32), we get a square (4615300096 = 67936²).

144228128 divided by its sum of digits (32) gives a square (4507129 = 2123²).

Multiplying 144228128 by its product of digits (8192), we get a square (1181516824576 = 1086976²).

The spelling of 144228128 in words is "one hundred forty-four million, two hundred twenty-eight thousand, one hundred twenty-eight".