13451200 has 84 divisors (see below), whose sum is σ = 37858192. Its totient is φ = 4608000.

The previous prime is 13451197. The next prime is 13451201. The reversal of 13451200 is 215431.

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

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13451201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10600 + ... + 11800.

Almost surely, 2^13451200 is an apocalyptic number.

13451200 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 13451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929096).

13451200 is an abundant number, since it is smaller than the sum of its proper divisors (24406992).

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

13451200 is a wasteful number, since it uses less digits than its factorization.

13451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1215 counting only the distinct ones).

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

The square root of 13451200 is about 3667.5877630944. The cubic root of 13451200 is about 237.8229033508.

Adding to 13451200 its reverse (215431), we get a palindrome (13666631).

The spelling of 13451200 in words is "thirteen million, four hundred fifty-one thousand, two hundred".