138760 has 16 divisors (see below), whose sum is σ = 312300. Its totient is φ = 55488.

The previous prime is 138739. The next prime is 138763. The reversal of 138760 is 67831.

It can be written as a sum of positive squares in 2 ways, for example, as 119716 + 19044 = 346^2 + 138^2 .

It is not an unprimeable number, because it can be changed into a prime (138763) by changing a digit.

138760 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 3 ways as a sum of consecutive naturals, for example, 1695 + ... + 1774.

2¹³⁸⁷⁶⁰ is an apocalyptic number.

138760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138760 is an abundant number, since it is smaller than the sum of its proper divisors (173540).

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

138760 is a wasteful number, since it uses less digits than its factorization.

138760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 138760 is about 372.5050335230. The cubic root of 138760 is about 51.7711839648.

It can be divided in two parts, 138 and 760, that added together give a palindrome (898).

The spelling of 138760 in words is "one hundred thirty-eight thousand, seven hundred sixty".