144412138900 has 144 divisors (see below), whose sum is σ = 340178227200. Its totient is φ = 53004482560.

The previous prime is 144412138879. The next prime is 144412138907. The reversal of 144412138900 is 9831214441.

144412138900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144412138900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144412138907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21489741 + ... + 21496459.

It is an arithmetic number, because the mean of its divisors is an integer number (2362348800).

Almost surely, 2^144412138900 is an apocalyptic number.

144412138900 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 144412138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170089113600).

144412138900 is an abundant number, since it is smaller than the sum of its proper divisors (195766088300).

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

144412138900 is a wasteful number, since it uses less digits than its factorization.

144412138900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 144412138900 in words is "one hundred forty-four billion, four hundred twelve million, one hundred thirty-eight thousand, nine hundred".