144120414100 has 72 divisors (see below), whose sum is σ = 337135184120. Its totient is φ = 53160468480.

The previous prime is 144120414059. The next prime is 144120414131. The reversal of 144120414100 is 1414021441.

It can be written as a sum of positive squares in 12 ways, for example, as 107109580176 + 37010833924 = 327276^2 + 192382^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1256764 + ... + 1366636.

Almost surely, 2^144120414100 is an apocalyptic number.

144120414100 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 144120414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168567592060).

144120414100 is an abundant number, since it is smaller than the sum of its proper divisors (193014770020).

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

144120414100 is a wasteful number, since it uses less digits than its factorization.

144120414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110909 (or 110902 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 144120414100 its reverse (1414021441), we get a palindrome (145534435541).

The spelling of 144120414100 in words is "one hundred forty-four billion, one hundred twenty million, four hundred fourteen thousand, one hundred".