13245120 has 280 divisors, whose sum is σ = 54583584. Its totient is φ = 2985984.

The previous prime is 13245107. The next prime is 13245137. The reversal of 13245120 is 2154231.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13245093 and 13245102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181404 + ... + 181476.

Almost surely, 2^13245120 is an apocalyptic number.

13245120 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 13245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27291792).

13245120 is an abundant number, since it is smaller than the sum of its proper divisors (41338464).

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

13245120 is an equidigital number, since it uses as much as digits as its factorization.

13245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13245120 is about 3639.3845633568. The cubic root of 13245120 is about 236.6021204216.

Adding to 13245120 its reverse (2154231), we get a palindrome (15399351).

The spelling of 13245120 in words is "thirteen million, two hundred forty-five thousand, one hundred twenty".