13701200 has 30 divisors (see below), whose sum is σ = 32918094. Its totient is φ = 5480320.

The previous prime is 13701199. The next prime is 13701209. The reversal of 13701200 is 210731.

It can be written as a sum of positive squares in 3 ways, for example, as 99856 + 13601344 = 316^2 + 3688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13701209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16727 + ... + 17526.

Almost surely, 2^13701200 is an apocalyptic number.

13701200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13701200 is an abundant number, since it is smaller than the sum of its proper divisors (19216894).

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

13701200 is a wasteful number, since it uses less digits than its factorization.

13701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34271 (or 34260 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 13701200 is about 3701.5132040829. The cubic root of 13701200 is about 239.2872371520.

Adding to 13701200 its reverse (210731), we get a palindrome (13911931).

The spelling of 13701200 in words is "thirteen million, seven hundred one thousand, two hundred".