137705 has 4 divisors (see below), whose sum is σ = 165252. Its totient is φ = 110160.

The previous prime is 137699. The next prime is 137707. The reversal of 137705 is 507731.

It is a happy number.

137705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 507731 = 7 ⋅72533.

It can be written as a sum of positive squares in 2 ways, for example, as 52441 + 85264 = 229^2 + 292^2 .

It is not a de Polignac number, because 137705 - 2¹⁴ = 121321 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137707) 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, 13766 + ... + 13775.

It is an arithmetic number, because the mean of its divisors is an integer number (41313).

2¹³⁷⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

137705 is a deficient number, since it is larger than the sum of its proper divisors (27547).

137705 is an equidigital number, since it uses as much as digits as its factorization.

137705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27546.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 137705 is about 371.0862433451. The cubic root of 137705 is about 51.6396436326.

The spelling of 137705 in words is "one hundred thirty-seven thousand, seven hundred five".