13877136 has 160 divisors (see below), whose sum is σ = 49163520. Its totient is φ = 3649536.

The previous prime is 13877113. The next prime is 13877137. The reversal of 13877136 is 63177831.

13877136 is nontrivially palindromic in base 5.

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

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

Its product of digits (21168) is a multiple of the sum of its prime divisors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 13877136.

It is not an unprimeable number, because it can be changed into a prime (13877137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39136 + ... + 39488.

It is an arithmetic number, because the mean of its divisors is an integer number (307272).

Almost surely, 2^13877136 is an apocalyptic number.

13877136 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 13877136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24581760).

13877136 is an abundant number, since it is smaller than the sum of its proper divisors (35286384).

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

13877136 is a wasteful number, since it uses less digits than its factorization.

13877136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

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

The square root of 13877136 is about 3725.2028132707. The cubic root of 13877136 is about 240.3071068548.

The spelling of 13877136 in words is "thirteen million, eight hundred seventy-seven thousand, one hundred thirty-six".