144314928 has 60 divisors (see below), whose sum is σ = 406617328. Its totient is φ = 47779200.

The previous prime is 144314869. The next prime is 144314939. The reversal of 144314928 is 829413441.

It is a happy number.

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

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 = 144314892 and 144314901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18426 + ... + 25062.

Almost surely, 2^144314928 is an apocalyptic number.

144314928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144314928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203308664).

144314928 is an abundant number, since it is smaller than the sum of its proper divisors (262302400).

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

144314928 is a wasteful number, since it uses less digits than its factorization.

144314928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6793 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 144314928 is about 12013.1148333811. The cubic root of 144314928 is about 524.5301047211.

The spelling of 144314928 in words is "one hundred forty-four million, three hundred fourteen thousand, nine hundred twenty-eight".