144412020 has 72 divisors (see below), whose sum is σ = 439999560. Its totient is φ = 38338560.

The previous prime is 144412019. The next prime is 144412039. The reversal of 144412020 is 20214441.

144412020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21734244 + 122677776 = 4662^2 + 11076^2 .

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 = 144411984 and 144412002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41716 + ... + 45044.

It is an arithmetic number, because the mean of its divisors is an integer number (6111105).

Almost surely, 2^144412020 is an apocalyptic number.

144412020 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 144412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219999780).

144412020 is an abundant number, since it is smaller than the sum of its proper divisors (295587540).

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

144412020 is a wasteful number, since it uses less digits than its factorization.

144412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144412020 is about 12017.1552374096. The cubic root of 144412020 is about 524.6477092334.

Adding to 144412020 its reverse (20214441), we get a palindrome (164626461).

It can be divided in two parts, 14441 and 2020, that added together give a palindrome (16461).

The spelling of 144412020 in words is "one hundred forty-four million, four hundred twelve thousand, twenty".