13145123560 has 64 divisors (see below), whose sum is σ = 30250195200. Its totient is φ = 5138616576.

The previous prime is 13145123543. The next prime is 13145123587. The reversal of 13145123560 is 6532154131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373271 + ... + 1382809.

It is an arithmetic number, because the mean of its divisors is an integer number (472659300).

Almost surely, 2^13145123560 is an apocalyptic number.

13145123560 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 13145123560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125097600).

13145123560 is an abundant number, since it is smaller than the sum of its proper divisors (17105071640).

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

13145123560 is a wasteful number, since it uses less digits than its factorization.

13145123560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10330 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 13145123560 its reverse (6532154131), we get a palindrome (19677277691).

The spelling of 13145123560 in words is "thirteen billion, one hundred forty-five million, one hundred twenty-three thousand, five hundred sixty".