13125200 has 120 divisors (see below), whose sum is σ = 36441120. Its totient is φ = 4492800.

The previous prime is 13125193. The next prime is 13125209. The reversal of 13125200 is 252131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125209) 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, 83522 + ... + 83678.

It is an arithmetic number, because the mean of its divisors is an integer number (303676).

Almost surely, 2^13125200 is an apocalyptic number.

13125200 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 13125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220560).

13125200 is an abundant number, since it is smaller than the sum of its proper divisors (23315920).

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

13125200 is a wasteful number, since it uses less digits than its factorization.

13125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13125200 is about 3622.8717890646. The cubic root of 13125200 is about 235.8858971542.

Adding to 13125200 its reverse (252131), we get a palindrome (13377331).

The spelling of 13125200 in words is "thirteen million, one hundred twenty-five thousand, two hundred".