87138 has 24 divisors (see below), whose sum is σ = 194688. Its totient is φ = 28152.

The previous prime is 87133. The next prime is 87149. The reversal of 87138 is 83178.

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

87138 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 11 ways as a sum of consecutive naturals, for example, 795 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (8112).

2⁸⁷¹³⁸ is an apocalyptic number.

87138 is an abundant number, since it is smaller than the sum of its proper divisors (107550).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97344).

87138 is a wasteful number, since it uses less digits than its factorization.

87138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 155 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 87138 is about 295.1914632912. The cubic root of 87138 is about 44.3338923680. Note that the first 3 decimals are identical.

It can be divided in two parts, 871 and 38, that added together give a palindrome (909).

The spelling of 87138 in words is "eighty-seven thousand, one hundred thirty-eight".