141314380200 has 576 divisors, whose sum is σ = 588326094720. Its totient is φ = 29657088000.

The previous prime is 141314380199. The next prime is 141314380219. The reversal of 141314380200 is 2083413141.

141314380200 is a `hidden beast` number, since 1 + 413 + 1 + 43 + 8 + 0 + 200 = 666.

141314380200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8774155 + ... + 8790245.

It is an arithmetic number, because the mean of its divisors is an integer number (1021399470).

Almost surely, 2^141314380200 is an apocalyptic number.

141314380200 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 141314380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294163047360).

141314380200 is an abundant number, since it is smaller than the sum of its proper divisors (447011714520).

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

141314380200 is a wasteful number, since it uses less digits than its factorization.

141314380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16178 (or 16166 counting only the distinct ones).

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

Adding to 141314380200 its reverse (2083413141), we get a palindrome (143397793341).

The spelling of 141314380200 in words is "one hundred forty-one billion, three hundred fourteen million, three hundred eighty thousand, two hundred".