13741200 has 180 divisors, whose sum is σ = 52170768. Its totient is φ = 3321600.

The previous prime is 13741193. The next prime is 13741201. The reversal of 13741200 is 214731.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (13741201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39427 + ... + 39773.

Almost surely, 2^13741200 is an apocalyptic number.

13741200 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 13741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26085384).

13741200 is an abundant number, since it is smaller than the sum of its proper divisors (38429568).

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

13741200 is a wasteful number, since it uses less digits than its factorization.

13741200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13741200 is about 3706.9124618744. The cubic root of 13741200 is about 239.5198734676.

Adding to 13741200 its reverse (214731), we get a palindrome (13955931).

The spelling of 13741200 in words is "thirteen million, seven hundred forty-one thousand, two hundred".