114200013113140 has 96 divisors (see below), whose sum is σ = 250805237760000. Its totient is φ = 43622971123200.

The previous prime is 114200013113129. The next prime is 114200013113159. The reversal of 114200013113140 is 41311310002411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55638861 + ... + 57654859.

It is an arithmetic number, because the mean of its divisors is an integer number (2612554560000).

Almost surely, 2^{114200013113140} is an apocalyptic number.

114200013113140 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 114200013113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125402618880000).

114200013113140 is an abundant number, since it is smaller than the sum of its proper divisors (136605224646860).

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

114200013113140 is a wasteful number, since it uses less digits than its factorization.

114200013113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017105 (or 2017103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 114200013113140 its reverse (41311310002411), we get a palindrome (155511323115551).

The spelling of 114200013113140 in words is "one hundred fourteen trillion, two hundred billion, thirteen million, one hundred thirteen thousand, one hundred forty".