13730200 has 72 divisors (see below), whose sum is σ = 35271180. Its totient is φ = 4929600.

The previous prime is 13730191. The next prime is 13730207. The reversal of 13730200 is 203731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13730207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 173761 + ... + 173839.

Almost surely, 2^13730200 is an apocalyptic number.

13730200 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 13730200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635590).

13730200 is an abundant number, since it is smaller than the sum of its proper divisors (21540980).

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

13730200 is a wasteful number, since it uses less digits than its factorization.

13730200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 13730200 is about 3705.4284502605. The cubic root of 13730200 is about 239.4559435352.

Adding to 13730200 its reverse (203731), we get a palindrome (13933931).

The spelling of 13730200 in words is "thirteen million, seven hundred thirty thousand, two hundred".