13787136 has 168 divisors, whose sum is σ = 46003464. Its totient is φ = 3932160.

The previous prime is 13787113. The next prime is 13787149. The reversal of 13787136 is 63178731.

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 13787136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811000 + ... + 811016.

Almost surely, 2^13787136 is an apocalyptic number.

13787136 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 13787136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23001732).

13787136 is an abundant number, since it is smaller than the sum of its proper divisors (32216328).

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

13787136 is a wasteful number, since it uses less digits than its factorization.

13787136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 33 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 13787136 is about 3713.1032843162. The cubic root of 13787136 is about 239.7864767556.

It can be divided in two parts, 1378713 and 6, that multiplied together give a triangular number (8272278 = T₄₀₆₇).

The spelling of 13787136 in words is "thirteen million, seven hundred eighty-seven thousand, one hundred thirty-six".