13735120 has 40 divisors (see below), whose sum is σ = 36497664. Its totient is φ = 4708992.

The previous prime is 13735097. The next prime is 13735159. The reversal of 13735120 is 2153731.

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

It is a junction number, because it is equal to n+sod(n) for n = 13735091 and 13735100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11704 + ... + 12823.

Almost surely, 2^13735120 is an apocalyptic number.

13735120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13735120 is an abundant number, since it is smaller than the sum of its proper divisors (22762544).

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

13735120 is a wasteful number, since it uses less digits than its factorization.

13735120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24547 (or 24541 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 13735120 is about 3706.0922816357. The cubic root of 13735120 is about 239.4845418695.

Adding to 13735120 its reverse (2153731), we get a palindrome (15888851).

The spelling of 13735120 in words is "thirteen million, seven hundred thirty-five thousand, one hundred twenty".