14135200 has 36 divisors (see below), whose sum is σ = 34509510. Its totient is φ = 5653760.

The previous prime is 14135189. The next prime is 14135207. The reversal of 14135200 is 253141.

It can be written as a sum of positive squares in 3 ways, for example, as 8317456 + 5817744 = 2884^2 + 2412^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14135207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8035 + ... + 9634.

Almost surely, 2^14135200 is an apocalyptic number.

14135200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14135200 is an abundant number, since it is smaller than the sum of its proper divisors (20374310).

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

14135200 is a wasteful number, since it uses less digits than its factorization.

14135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17689 (or 17676 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 14135200 is about 3759.6808375180. The cubic root of 14135200 is about 241.7875785487.

Adding to 14135200 its reverse (253141), we get a palindrome (14388341).

The spelling of 14135200 in words is "fourteen million, one hundred thirty-five thousand, two hundred".