144013053120 has 112 divisors (see below), whose sum is σ = 457484122368. Its totient is φ = 38383098880.

The previous prime is 144013053089. The next prime is 144013053143. The reversal of 144013053120 is 21350310441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1814917 + ... + 1892603.

It is an arithmetic number, because the mean of its divisors is an integer number (4084679664).

Almost surely, 2^144013053120 is an apocalyptic number.

144013053120 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 144013053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228742061184).

144013053120 is an abundant number, since it is smaller than the sum of its proper divisors (313471069248).

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

144013053120 is a wasteful number, since it uses less digits than its factorization.

144013053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79638 (or 79628 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 144013053120 its reverse (21350310441), we get a palindrome (165363363561).

The spelling of 144013053120 in words is "one hundred forty-four billion, thirteen million, fifty-three thousand, one hundred twenty".