13257200 has 120 divisors (see below), whose sum is σ = 36533376. Its totient is φ = 4576000.

The previous prime is 13257199. The next prime is 13257203. The reversal of 13257200 is 275231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13257203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101135 + ... + 101265.

Almost surely, 2^13257200 is an apocalyptic number.

13257200 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 13257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18266688).

13257200 is an abundant number, since it is smaller than the sum of its proper divisors (23276176).

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

13257200 is a wasteful number, since it uses less digits than its factorization.

13257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 13257200 is about 3641.0438063830. The cubic root of 13257200 is about 236.6740282927.

The spelling of 13257200 in words is "thirteen million, two hundred fifty-seven thousand, two hundred".