13526120 has 16 divisors (see below), whose sum is σ = 30433860. Its totient is φ = 5410432.

The previous prime is 13526069. The next prime is 13526141. The reversal of 13526120 is 2162531.

It can be written as a sum of positive squares in 2 ways, for example, as 13060996 + 465124 = 3614^2 + 682^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13526092 and 13526101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169037 + ... + 169116.

Almost surely, 2^13526120 is an apocalyptic number.

13526120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13526120 is an abundant number, since it is smaller than the sum of its proper divisors (16907740).

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

13526120 is a wasteful number, since it uses less digits than its factorization.

13526120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338164 (or 338160 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13526120 is about 3677.7873783023. The cubic root of 13526120 is about 238.2636252144.

Adding to 13526120 its reverse (2162531), we get a palindrome (15688651).

The spelling of 13526120 in words is "thirteen million, five hundred twenty-six thousand, one hundred twenty".