13985136 has 140 divisors (see below), whose sum is σ = 44725560. Its totient is φ = 4199040.

The previous prime is 13985131. The next prime is 13985137. The reversal of 13985136 is 63158931.

It is a happy number.

13985136 is a `hidden beast` number, since 139 + 8 + 513 + 6 = 666.

13985136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13985136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985131) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128250 + ... + 128358.

Almost surely, 2^13985136 is an apocalyptic number.

13985136 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 13985136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22362780).

13985136 is an abundant number, since it is smaller than the sum of its proper divisors (30740424).

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

13985136 is a wasteful number, since it uses less digits than its factorization.

13985136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 13985136 is about 3739.6705737270. The cubic root of 13985136 is about 240.9289001306.

The spelling of 13985136 in words is "thirteen million, nine hundred eighty-five thousand, one hundred thirty-six".