138580 has 36 divisors (see below), whose sum is σ = 322812. Its totient is φ = 49920.

The previous prime is 138577. The next prime is 138581. The reversal of 138580 is 85831.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 75076 = 252^2 + 274^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3360 + ... + 3400.

It is an arithmetic number, because the mean of its divisors is an integer number (8967).

2¹³⁸⁵⁸⁰ is an apocalyptic number.

138580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161406).

138580 is an abundant number, since it is smaller than the sum of its proper divisors (184232).

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

138580 is a wasteful number, since it uses less digits than its factorization.

138580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 138580 is about 372.2633476452. The cubic root of 138580 is about 51.7487883525.

The spelling of 138580 in words is "one hundred thirty-eight thousand, five hundred eighty".