13125456 has 80 divisors (see below), whose sum is σ = 39342720. Its totient is φ = 4181760.

The previous prime is 13125451. The next prime is 13125457. The reversal of 13125456 is 65452131.

13125456 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9276 + ... + 10596.

It is an arithmetic number, because the mean of its divisors is an integer number (491784).

Almost surely, 2^13125456 is an apocalyptic number.

13125456 is a gapful number since it is divisible by the number (16) 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 13125456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19671360).

13125456 is an abundant number, since it is smaller than the sum of its proper divisors (26217264).

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

13125456 is a wasteful number, since it uses less digits than its factorization.

13125456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1349 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 13125456 is about 3622.9071199798. The cubic root of 13125456 is about 235.8874307537.

Adding to 13125456 its reverse (65452131), we get a palindrome (78577587).

The spelling of 13125456 in words is "thirteen million, one hundred twenty-five thousand, four hundred fifty-six".