144121413132 has 96 divisors (see below), whose sum is σ = 375643699200. Its totient is φ = 47784473856.

The previous prime is 144121413113. The next prime is 144121413143. The reversal of 144121413132 is 231314121441.

It is a happy number.

144121413132 is a `hidden beast` number, since 1 + 441 + 214 + 1 + 3 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144121413096 and 144121413105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20418948 + ... + 20426004.

It is an arithmetic number, because the mean of its divisors is an integer number (3912955200).

Almost surely, 2^144121413132 is an apocalyptic number.

144121413132 is a gapful number since it is divisible by the number (12) 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 144121413132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187821849600).

144121413132 is an abundant number, since it is smaller than the sum of its proper divisors (231522286068).

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

144121413132 is a wasteful number, since it uses less digits than its factorization.

144121413132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8052 (or 8044 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 144121413132 its reverse (231314121441), we get a palindrome (375435534573).

The spelling of 144121413132 in words is "one hundred forty-four billion, one hundred twenty-one million, four hundred thirteen thousand, one hundred thirty-two".