13518414 has 120 divisors (see below), whose sum is σ = 38236968. Its totient is φ = 3538080.

The previous prime is 13518403. The next prime is 13518419. The reversal of 13518414 is 41481531.

It is a happy number.

13518414 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13518419) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 103129 + ... + 103259.

Almost surely, 2^13518414 is an apocalyptic number.

13518414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13518414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19118484).

13518414 is an abundant number, since it is smaller than the sum of its proper divisors (24718554).

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

13518414 is a wasteful number, since it uses less digits than its factorization.

13518414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 13518414 is about 3676.7395882765. The cubic root of 13518414 is about 238.2183693617.

Adding to 13518414 its reverse (41481531), we get a palindrome (54999945).

The spelling of 13518414 in words is "thirteen million, five hundred eighteen thousand, four hundred fourteen".