144119120100 has 216 divisors, whose sum is σ = 461552646240. Its totient is φ = 34597770240.

The previous prime is 144119120053. The next prime is 144119120113. The reversal of 144119120100 is 1021911441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2671191 + ... + 2724609.

Almost surely, 2^144119120100 is an apocalyptic number.

144119120100 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 144119120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230776323120).

144119120100 is an abundant number, since it is smaller than the sum of its proper divisors (317433526140).

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

144119120100 is a wasteful number, since it uses less digits than its factorization.

144119120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53499 (or 53469 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 144119120100 in words is "one hundred forty-four billion, one hundred nineteen million, one hundred twenty thousand, one hundred".