13488137 has 16 divisors (see below), whose sum is σ = 15030288. Its totient is φ = 12026880.

The previous prime is 13488127. The next prime is 13488149. The reversal of 13488137 is 73188431.

It can be written as a sum of positive squares in 8 ways, for example, as 4583881 + 8904256 = 2141^2 + 2984^2 .

It is a cyclic number.

It is not a de Polignac number, because 13488137 - 2⁶ = 13488073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13488097 and 13488106.

It is not an unprimeable number, because it can be changed into a prime (13488127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57773 + ... + 58005.

It is an arithmetic number, because the mean of its divisors is an integer number (939393).

Almost surely, 2^13488137 is an apocalyptic number.

It is an amenable number.

13488137 is a deficient number, since it is larger than the sum of its proper divisors (1542151).

13488137 is a wasteful number, since it uses less digits than its factorization.

13488137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380.

The product of its digits is 16128, while the sum is 35.

The square root of 13488137 is about 3672.6199095469. The cubic root of 13488137 is about 238.0403916570.

The spelling of 13488137 in words is "thirteen million, four hundred eighty-eight thousand, one hundred thirty-seven".