144042120 has 96 divisors (see below), whose sum is σ = 483275520. Its totient is φ = 37169280.

The previous prime is 144042109. The next prime is 144042137. The reversal of 144042120 is 21240441.

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 = 144042093 and 144042102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4707 + ... + 17613.

It is an arithmetic number, because the mean of its divisors is an integer number (5034120).

Almost surely, 2^144042120 is an apocalyptic number.

144042120 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 144042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241637760).

144042120 is an abundant number, since it is smaller than the sum of its proper divisors (339233400).

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

144042120 is a wasteful number, since it uses less digits than its factorization.

144042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955 (or 12948 counting only the distinct ones).

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

The square root of 144042120 is about 12001.7548716844. The cubic root of 144042120 is about 524.1993783171.

Adding to 144042120 its reverse (21240441), we get a palindrome (165282561).

It can be divided in two parts, 1440421 and 20, that added together give a palindrome (1440441).

The spelling of 144042120 in words is "one hundred forty-four million, forty-two thousand, one hundred twenty".