138280 has 16 divisors (see below), whose sum is σ = 311220. Its totient is φ = 55296.

The previous prime is 138251. The next prime is 138283. The reversal of 138280 is 82831.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 21316 = 342^2 + 146^2 .

It is not an unprimeable number, because it can be changed into a prime (138283) 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, 1689 + ... + 1768.

2¹³⁸²⁸⁰ is an apocalyptic number.

138280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138280 is an abundant number, since it is smaller than the sum of its proper divisors (172940).

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

138280 is a wasteful number, since it uses less digits than its factorization.

138280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 138280 is about 371.8601887807. The cubic root of 138280 is about 51.7114191972.

The spelling of 138280 in words is "one hundred thirty-eight thousand, two hundred eighty".