13135248 has 120 divisors (see below), whose sum is σ = 42788928. Its totient is φ = 3684096.

The previous prime is 13135247. The next prime is 13135279. The reversal of 13135248 is 84253131.

It is a happy number.

13135248 is a `hidden beast` number, since 131 + 3 + 524 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13135247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83586 + ... + 83742.

Almost surely, 2^13135248 is an apocalyptic number.

13135248 is a gapful number since it is divisible by the number (18) 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 13135248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21394464).

13135248 is an abundant number, since it is smaller than the sum of its proper divisors (29653680).

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

13135248 is a wasteful number, since it uses less digits than its factorization.

13135248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13135248 is about 3624.2582689428. The cubic root of 13135248 is about 235.9460759686.

Adding to 13135248 its reverse (84253131), we get a palindrome (97388379).

It can be divided in two parts, 1313 and 5248, that added together give a 8-th power (6561 = 3⁸).

The spelling of 13135248 in words is "thirteen million, one hundred thirty-five thousand, two hundred forty-eight".