144145728 has 42 divisors (see below), whose sum is σ = 413169354. Its totient is φ = 48048384.

The previous prime is 144145697. The next prime is 144145751. The reversal of 144145728 is 827541441.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 84052224 + 60093504 = 9168^2 + 7752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144145692 and 144145701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124551 + ... + 125702.

Almost surely, 2^144145728 is an apocalyptic number.

144145728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144145728 is an abundant number, since it is smaller than the sum of its proper divisors (269023626).

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

144145728 is a wasteful number, since it uses less digits than its factorization.

144145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250271 (or 250258 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 144145728 is about 12006.0704645608. The cubic root of 144145728 is about 524.3250319165.

The spelling of 144145728 in words is "one hundred forty-four million, one hundred forty-five thousand, seven hundred twenty-eight".