144145120 has 96 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 49076736.

The previous prime is 144145087. The next prime is 144145129. The reversal of 144145120 is 21541441.

144145120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144145091 and 144145100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144145129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200121 + ... + 200839.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^144145120 is an apocalyptic number.

144145120 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 144145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

144145120 is an abundant number, since it is smaller than the sum of its proper divisors (247765280).

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

144145120 is a wasteful number, since it uses less digits than its factorization.

144145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 144145120 is about 12006.0451440097. The cubic root of 144145120 is about 524.3242947226.

Adding to 144145120 its reverse (21541441), we get a palindrome (165686561).

The spelling of 144145120 in words is "one hundred forty-four million, one hundred forty-five thousand, one hundred twenty".