132138 has 16 divisors (see below), whose sum is σ = 293760. Its totient is φ = 44028.

The previous prime is 132137. The next prime is 132151. The reversal of 132138 is 831231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 132138.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132138.

It is not an unprimeable number, because it can be changed into a prime (132137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1170 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2¹³²¹³⁸ is an apocalyptic number.

132138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

132138 is an abundant number, since it is smaller than the sum of its proper divisors (161622).

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

132138 is a wasteful number, since it uses less digits than its factorization.

132138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2452 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 132138 is about 363.5079091299. The cubic root of 132138 is about 50.9341711225.

Adding to 132138 its reverse (831231), we get a palindrome (963369).

The spelling of 132138 in words is "one hundred thirty-two thousand, one hundred thirty-eight".