13140456 has 128 divisors (see below), whose sum is σ = 41057280. Its totient is φ = 3419136.

The previous prime is 13140433. The next prime is 13140461. The reversal of 13140456 is 65404131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122755 + ... + 122861.

It is an arithmetic number, because the mean of its divisors is an integer number (320760).

Almost surely, 2^13140456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528640).

13140456 is an abundant number, since it is smaller than the sum of its proper divisors (27916824).

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

13140456 is a wasteful number, since it uses less digits than its factorization.

13140456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13140456 is about 3624.9766895802. The cubic root of 13140456 is about 235.9772553011.

Adding to 13140456 its reverse (65404131), we get a palindrome (78544587).

The spelling of 13140456 in words is "thirteen million, one hundred forty thousand, four hundred fifty-six".