138761 has 8 divisors (see below), whose sum is σ = 162624. Its totient is φ = 115920.

The previous prime is 138739. The next prime is 138763. The reversal of 138761 is 167831.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 138761 - 2¹⁰ = 137737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138761.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138761.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2¹³⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

138761 is a deficient number, since it is larger than the sum of its proper divisors (23863).

138761 is an equidigital number, since it uses as much as digits as its factorization.

138761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511.

The product of its digits is 1008, while the sum is 26.

The square root of 138761 is about 372.5063757844. The cubic root of 138761 is about 51.7713083308.

The spelling of 138761 in words is "one hundred thirty-eight thousand, seven hundred sixty-one".