13974136200 has 480 divisors, whose sum is σ = 50233392000. Its totient is φ = 3598732800.

The previous prime is 13974136193. The next prime is 13974136229. The reversal of 13974136200 is 263147931.

13974136200 is a `hidden beast` number, since 1 + 39 + 7 + 413 + 6 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78067711 + ... + 78067889.

It is an arithmetic number, because the mean of its divisors is an integer number (104652900).

Almost surely, 2^13974136200 is an apocalyptic number.

13974136200 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 13974136200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116696000).

13974136200 is an abundant number, since it is smaller than the sum of its proper divisors (36259255800).

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

13974136200 is a wasteful number, since it uses less digits than its factorization.

13974136200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13974136200 in words is "thirteen billion, nine hundred seventy-four million, one hundred thirty-six thousand, two hundred".