87136 has 24 divisors (see below), whose sum is σ = 196560. Its totient is φ = 37248.

The previous prime is 87133. The next prime is 87149. The reversal of 87136 is 63178.

It is a self number, because there is not a number n which added to its sum of digits gives 87136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2⁸⁷¹³⁶ 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 87136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

87136 is an abundant number, since it is smaller than the sum of its proper divisors (109424).

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

87136 is a wasteful number, since it uses less digits than its factorization.

87136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 87136 is about 295.1880756399. The cubic root of 87136 is about 44.3335531801. Note that the first 3 decimals are identical.

The spelling of 87136 in words is "eighty-seven thousand, one hundred thirty-six".