13354200 has 96 divisors (see below), whose sum is σ = 46016400. Its totient is φ = 3559680.

The previous prime is 13354199. The next prime is 13354217. The reversal of 13354200 is 245331.

13354200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4164 + ... + 6636.

Almost surely, 2^13354200 is an apocalyptic number.

13354200 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 13354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008200).

13354200 is an abundant number, since it is smaller than the sum of its proper divisors (32662200).

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

13354200 is a wasteful number, since it uses less digits than its factorization.

13354200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13354200 is about 3654.3398856702. The cubic root of 13354200 is about 237.2498566697.

Adding to 13354200 its reverse (245331), we get a palindrome (13599531).

The spelling of 13354200 in words is "thirteen million, three hundred fifty-four thousand, two hundred".