144402320 has 40 divisors (see below), whose sum is σ = 337903224. Its totient is φ = 57388032.

The previous prime is 144402289. The next prime is 144402331. The reversal of 144402320 is 23204441.

It can be written as a sum of positive squares in 4 ways, for example, as 9935104 + 134467216 = 3152^2 + 11596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 144402292 and 144402301.

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 7 ways as a sum of consecutive naturals, for example, 6812 + ... + 18308.

Almost surely, 2^144402320 is an apocalyptic number.

144402320 is a gapful number since it is divisible by the number (10) 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 144402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168951612).

144402320 is an abundant number, since it is smaller than the sum of its proper divisors (193500904).

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

144402320 is a wasteful number, since it uses less digits than its factorization.

144402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667 (or 11661 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 144402320 is about 12016.7516409386. The cubic root of 144402320 is about 524.6359622964.

Adding to 144402320 its reverse (23204441), we get a palindrome (167606761).

The spelling of 144402320 in words is "one hundred forty-four million, four hundred two thousand, three hundred twenty".