13125600 has 108 divisors (see below), whose sum is σ = 46309536. Its totient is φ = 3498240.

The previous prime is 13125569. The next prime is 13125611. The reversal of 13125600 is 652131.

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

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6289 + ... + 8111.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 2^13125600 is an apocalyptic number.

13125600 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 13125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

13125600 is an abundant number, since it is smaller than the sum of its proper divisors (33183936).

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

13125600 is a wasteful number, since it uses less digits than its factorization.

13125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13125600 is about 3622.9269934681. The cubic root of 13125600 is about 235.8882933946. Note that the first 3 decimals are identical.

Adding to 13125600 its reverse (652131), we get a palindrome (13777731).

The spelling of 13125600 in words is "thirteen million, one hundred twenty-five thousand, six hundred".