144202320 has 120 divisors (see below), whose sum is σ = 497459976. Its totient is φ = 37407744.

The previous prime is 144202319. The next prime is 144202327. The reversal of 144202320 is 23202441.

144202320 is a `hidden beast` number, since 14 + 420 + 232 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21790224 + 122412096 = 4668^2 + 11064^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144202293 and 144202302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144202327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23934 + ... + 29346.

Almost surely, 2^144202320 is an apocalyptic number.

144202320 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 144202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248729988).

144202320 is an abundant number, since it is smaller than the sum of its proper divisors (353257656).

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

144202320 is a wasteful number, since it uses less digits than its factorization.

144202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144202320 is about 12008.4270410408. The cubic root of 144202320 is about 524.3936400774.

Adding to 144202320 its reverse (23202441), we get a palindrome (167404761).

The spelling of 144202320 in words is "one hundred forty-four million, two hundred two thousand, three hundred twenty".