38136 has 32 divisors (see below), whose sum is σ = 109440. Its totient is φ = 10848.

The previous prime is 38119. The next prime is 38149. The reversal of 38136 is 63183.

38136 is digitally balanced in base 2 and base 4, because in such bases 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 (21).

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

38136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2³⁸¹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

38136 is an abundant number, since it is smaller than the sum of its proper divisors (71304).

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

38136 is a wasteful number, since it uses less digits than its factorization.

38136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 38136 is about 195.2844079797. The cubic root of 38136 is about 33.6598140918.

The spelling of 38136 in words is "thirty-eight thousand, one hundred thirty-six".