13457200 has 60 divisors (see below), whose sum is σ = 34250040. Its totient is φ = 5063680.

The previous prime is 13457173. The next prime is 13457201. The reversal of 13457200 is 275431.

13457200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13457200³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13457201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5811 + ... + 7789.

It is an arithmetic number, because the mean of its divisors is an integer number (570834).

Almost surely, 2^13457200 is an apocalyptic number.

13457200 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 13457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125020).

13457200 is an abundant number, since it is smaller than the sum of its proper divisors (20792840).

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

13457200 is a wasteful number, since it uses less digits than its factorization.

13457200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 13457200 is about 3668.4056482347. The cubic root of 13457200 is about 237.8582589401.

The spelling of 13457200 in words is "thirteen million, four hundred fifty-seven thousand, two hundred".