13459120 has 40 divisors (see below), whose sum is σ = 32145264. Its totient is φ = 5236992.

The previous prime is 13459109. The next prime is 13459133. The reversal of 13459120 is 2195431.

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

It is a super-2 number, since 2×13459120² = 362295822348800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 5233.

Almost surely, 2^13459120 is an apocalyptic number.

13459120 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 13459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16072632).

13459120 is an abundant number, since it is smaller than the sum of its proper divisors (18686144).

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

13459120 is a wasteful number, since it uses less digits than its factorization.

13459120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 13459120 is about 3668.6673329698. The cubic root of 13459120 is about 237.8695705091.

The spelling of 13459120 in words is "thirteen million, four hundred fifty-nine thousand, one hundred twenty".