144419328 has 160 divisors (see below), whose sum is σ = 442590720. Its totient is φ = 46448640.

The previous prime is 144419279. The next prime is 144419377. The reversal of 144419328 is 823914441.

It is a happy number.

144419328 is a `hidden beast` number, since 1 + 444 + 193 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (144419279) and next prime (144419377).

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 = 144419292 and 144419301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428376 + ... + 428712.

It is an arithmetic number, because the mean of its divisors is an integer number (2766192).

Almost surely, 2^144419328 is an apocalyptic number.

144419328 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 144419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221295360).

144419328 is an abundant number, since it is smaller than the sum of its proper divisors (298171392).

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

144419328 is an equidigital number, since it uses as much as digits as its factorization.

144419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

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

The square root of 144419328 is about 12017.4592988701. The cubic root of 144419328 is about 524.6565590526.

The spelling of 144419328 in words is "one hundred forty-four million, four hundred nineteen thousand, three hundred twenty-eight".