13725936 has 200 divisors, whose sum is σ = 48612960. Its totient is φ = 3649536.

The previous prime is 13725931. The next prime is 13725941. The reversal of 13725936 is 63952731.

It is an interprime number because it is at equal distance from previous prime (13725931) and next prime (13725941).

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 13725936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13725931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154180 + ... + 154268.

Almost surely, 2^13725936 is an apocalyptic number.

13725936 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 13725936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

13725936 is an abundant number, since it is smaller than the sum of its proper divisors (34887024).

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

13725936 is a wasteful number, since it uses less digits than its factorization.

13725936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13725936 is about 3704.8530335224. The cubic root of 13725936 is about 239.4311527854.

The spelling of 13725936 in words is "thirteen million, seven hundred twenty-five thousand, nine hundred thirty-six".