14135120 has 40 divisors (see below), whose sum is σ = 33186120. Its totient is φ = 5598720.

The previous prime is 14135117. The next prime is 14135123. The reversal of 14135120 is 2153141.

It is an interprime number because it is at equal distance from previous prime (14135117) and next prime (14135123).

It can be written as a sum of positive squares in 4 ways, for example, as 4048144 + 10086976 = 2012^2 + 3176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7910 + ... + 9530.

It is an arithmetic number, because the mean of its divisors is an integer number (829653).

Almost surely, 2^14135120 is an apocalyptic number.

14135120 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 14135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593060).

14135120 is an abundant number, since it is smaller than the sum of its proper divisors (19051000).

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

14135120 is a wasteful number, since it uses less digits than its factorization.

14135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 14135120 is about 3759.6701983020. The cubic root of 14135120 is about 241.7871224051.

Adding to 14135120 its reverse (2153141), we get a palindrome (16288261).

The spelling of 14135120 in words is "fourteen million, one hundred thirty-five thousand, one hundred twenty".