138276 has 36 divisors (see below), whose sum is σ = 366912. Its totient is φ = 43824.

The previous prime is 138251. The next prime is 138283. The reversal of 138276 is 672831.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

138276 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 11 ways as a sum of consecutive naturals, for example, 745 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2¹³⁸²⁷⁶ 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 138276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456).

138276 is an abundant number, since it is smaller than the sum of its proper divisors (228636).

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

138276 is a wasteful number, since it uses less digits than its factorization.

138276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 138276 is about 371.8548103763. The cubic root of 138276 is about 51.7109205768.

It can be divided in two parts, 138 and 276, that added together give a palindrome (414).

The spelling of 138276 in words is "one hundred thirty-eight thousand, two hundred seventy-six".