13135200 has 144 divisors (see below), whose sum is σ = 46153296. Its totient is φ = 3225600.

The previous prime is 13135193. The next prime is 13135207. The reversal of 13135200 is 253131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13135193) and next prime (13135207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13135200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30990 + ... + 31410.

It is an arithmetic number, because the mean of its divisors is an integer number (320509).

Almost surely, 2^13135200 is an apocalyptic number.

13135200 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 13135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23076648).

13135200 is an abundant number, since it is smaller than the sum of its proper divisors (33018096).

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

13135200 is a wasteful number, since it uses less digits than its factorization.

13135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13135200 is about 3624.2516468921. The cubic root of 13135200 is about 235.9457885631.

Adding to 13135200 its reverse (253131), we get a palindrome (13388331).

The spelling of 13135200 in words is "thirteen million, one hundred thirty-five thousand, two hundred".