144114010100 has 72 divisors (see below), whose sum is σ = 330246571200. Its totient is φ = 54435801600.

The previous prime is 144114010099. The next prime is 144114010127. The reversal of 144114010100 is 1010411441.

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, 468956 + ... + 712844.

Almost surely, 2^144114010100 is an apocalyptic number.

144114010100 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 144114010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165123285600).

144114010100 is an abundant number, since it is smaller than the sum of its proper divisors (186132561100).

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

144114010100 is a wasteful number, since it uses less digits than its factorization.

144114010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244233 (or 244226 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 144114010100 its reverse (1010411441), we get a palindrome (145124421541).

The spelling of 144114010100 in words is "one hundred forty-four billion, one hundred fourteen million, ten thousand, one hundred".