13515138 has 96 divisors (see below), whose sum is σ = 37180416. Its totient is φ = 3452544.

The previous prime is 13515133. The next prime is 13515157. The reversal of 13515138 is 83151531.

13515138 is a `hidden beast` number, since 13 + 515 + 138 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13515133) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 60495 + ... + 60717.

It is an arithmetic number, because the mean of its divisors is an integer number (387296).

Almost surely, 2^13515138 is an apocalyptic number.

13515138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13515138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18590208).

13515138 is an abundant number, since it is smaller than the sum of its proper divisors (23665278).

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

13515138 is a wasteful number, since it uses less digits than its factorization.

13515138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 13515138 is about 3676.2940578795. The cubic root of 13515138 is about 238.1991248353.

Adding to 13515138 its reverse (83151531), we get a palindrome (96666669).

The spelling of 13515138 in words is "thirteen million, five hundred fifteen thousand, one hundred thirty-eight".