144413120 has 56 divisors (see below), whose sum is σ = 349758000. Its totient is φ = 56778752.

The previous prime is 144413099. The next prime is 144413123. The reversal of 144413120 is 21314441.

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 = 144413092 and 144413101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144413123) 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 7 ways as a sum of consecutive naturals, for example, 15056 + ... + 22704.

Almost surely, 2^144413120 is an apocalyptic number.

144413120 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 144413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174879000).

144413120 is an abundant number, since it is smaller than the sum of its proper divisors (205344880).

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

144413120 is an equidigital number, since it uses as much as digits as its factorization.

144413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 144413120 is about 12017.2010052258. The cubic root of 144413120 is about 524.6490413271.

Adding to 144413120 its reverse (21314441), we get a palindrome (165727561).

The spelling of 144413120 in words is "one hundred forty-four million, four hundred thirteen thousand, one hundred twenty".