13931136 has 128 divisors (see below), whose sum is σ = 42840000. Its totient is φ = 4451328.

The previous prime is 13931117. The next prime is 13931147. The reversal of 13931136 is 63113931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100155 + ... + 100293.

Almost surely, 2^13931136 is an apocalyptic number.

13931136 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 13931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21420000).

13931136 is an abundant number, since it is smaller than the sum of its proper divisors (28908864).

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

13931136 is a wasteful number, since it uses less digits than its factorization.

13931136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 13931136 is about 3732.4437035272. The cubic root of 13931136 is about 240.6184051940.

The spelling of 13931136 in words is "thirteen million, nine hundred thirty-one thousand, one hundred thirty-six".