13541514200 has 48 divisors (see below), whose sum is σ = 31505885280. Its totient is φ = 5412844160.

The previous prime is 13541514191. The next prime is 13541514221. The reversal of 13541514200 is 241514531.

13541514200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13541514200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274634 + ... + 320166.

It is an arithmetic number, because the mean of its divisors is an integer number (656372610).

Almost surely, 2^13541514200 is an apocalyptic number.

13541514200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13541514200 is an abundant number, since it is smaller than the sum of its proper divisors (17964371080).

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

13541514200 is a wasteful number, since it uses less digits than its factorization.

13541514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47036 (or 47027 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 13541514200 in words is "thirteen billion, five hundred forty-one million, five hundred fourteen thousand, two hundred".