144455328 has 72 divisors (see below), whose sum is σ = 432432000. Its totient is φ = 45615744.

The previous prime is 144455323. The next prime is 144455329. The reversal of 144455328 is 823554441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 144455292 and 144455301.

It is not an unprimeable number, because it can be changed into a prime (144455323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7728 + ... + 18671.

It is an arithmetic number, because the mean of its divisors is an integer number (6006000).

Almost surely, 2^144455328 is an apocalyptic number.

144455328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144455328 is an abundant number, since it is smaller than the sum of its proper divisors (287976672).

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

144455328 is a wasteful number, since it uses less digits than its factorization.

144455328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26434 (or 26423 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 144455328 is about 12018.9570262981. The cubic root of 144455328 is about 524.7001498637.

The spelling of 144455328 in words is "one hundred forty-four million, four hundred fifty-five thousand, three hundred twenty-eight".