86136 has 32 divisors (see below), whose sum is σ = 223440. Its totient is φ = 27648.

The previous prime is 86131. The next prime is 86137. The reversal of 86136 is 63168.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86131) by changing a digit.

86136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 936.

2⁸⁶¹³⁶ 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 86136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

86136 is an abundant number, since it is smaller than the sum of its proper divisors (137304).

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

86136 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (86135) it forms an eRAP, since the sums of their prime factors are consecutive (142 and 143).

86136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 86136 is about 293.4893524474. The cubic root of 86136 is about 44.1633049931.

It can be divided in two parts, 86 and 136, that added together give a palindrome (222).

The spelling of 86136 in words is "eighty-six thousand, one hundred thirty-six".