13135616 has 36 divisors (see below), whose sum is σ = 28243992. Its totient is φ = 6061056.

The previous prime is 13135613. The next prime is 13135649. The reversal of 13135616 is 61653131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1355 + ... + 5301.

Almost surely, 2^13135616 is an apocalyptic number.

13135616 is a gapful number since it is divisible by the number (16) 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 13135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14121996).

13135616 is an abundant number, since it is smaller than the sum of its proper divisors (15108376).

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

13135616 is an equidigital number, since it uses as much as digits as its factorization.

13135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3962 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 13135616 is about 3624.3090375960. The cubic root of 13135616 is about 235.9482793870.

Adding to 13135616 its reverse (61653131), we get a palindrome (74788747).

The spelling of 13135616 in words is "thirteen million, one hundred thirty-five thousand, six hundred sixteen".