138560 has 28 divisors (see below), whose sum is σ = 330708. Its totient is φ = 55296.

The previous prime is 138559. The next prime is 138563. The reversal of 138560 is 65831.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 107584 = 176^2 + 328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138563) 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, 104 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (11811).

2¹³⁸⁵⁶⁰ is an apocalyptic number.

138560 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 138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165354).

138560 is an abundant number, since it is smaller than the sum of its proper divisors (192148).

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

138560 is an equidigital number, since it uses as much as digits as its factorization.

138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 138560 is about 372.2364839722. The cubic root of 138560 is about 51.7462987543.

The spelling of 138560 in words is "one hundred thirty-eight thousand, five hundred sixty".