13142760 has 64 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 3390720.

The previous prime is 13142749. The next prime is 13142761. The reversal of 13142760 is 6724131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13142760.

It is not an unprimeable number, because it can be changed into a prime (13142761) 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, 1954 + ... + 5486.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 2^13142760 is an apocalyptic number.

13142760 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 13142760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

13142760 is an abundant number, since it is smaller than the sum of its proper divisors (27568920).

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

13142760 is a wasteful number, since it uses less digits than its factorization.

13142760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13142760 is about 3625.2944707982. The cubic root of 13142760 is about 235.9910462944.

Adding to 13142760 its reverse (6724131), we get a palindrome (19866891).

The spelling of 13142760 in words is "thirteen million, one hundred forty-two thousand, seven hundred sixty".