13718120 has 128 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 4561920.

The previous prime is 13718119. The next prime is 13718141. The reversal of 13718120 is 2181731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 370742 + ... + 370778.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^13718120 is an apocalyptic number.

13718120 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 13718120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

13718120 is an abundant number, since it is smaller than the sum of its proper divisors (23053720).

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

13718120 is a wasteful number, since it uses less digits than its factorization.

13718120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 13718120 is about 3703.7980506502. The cubic root of 13718120 is about 239.3856974952.

Adding to 13718120 its reverse (2181731), we get a palindrome (15899851).

The spelling of 13718120 in words is "thirteen million, seven hundred eighteen thousand, one hundred twenty".