13753136 has 40 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 6354944.

The previous prime is 13753133. The next prime is 13753139. The reversal of 13753136 is 63135731.

It is a happy number.

13753136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13753133) and next prime (13753139).

It is a junction number, because it is equal to n+sod(n) for n = 13753099 and 13753108.

It is not an unprimeable number, because it can be changed into a prime (13753133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15620 + ... + 16476.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^13753136 is an apocalyptic number.

13753136 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 13753136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).

13753136 is an abundant number, since it is smaller than the sum of its proper divisors (14972704).

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

13753136 is a wasteful number, since it uses less digits than its factorization.

13753136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its digits is 5670, while the sum is 29.

The square root of 13753136 is about 3708.5220775937. The cubic root of 13753136 is about 239.5892046719.

Adding to 13753136 its reverse (63135731), we get a palindrome (76888867).

The spelling of 13753136 in words is "thirteen million, seven hundred fifty-three thousand, one hundred thirty-six".