137905 has 4 divisors (see below), whose sum is σ = 165492. Its totient is φ = 110320.

The previous prime is 137873. The next prime is 137909. The reversal of 137905 is 509731.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 30976 = 327^2 + 176^2 .

It is not a de Polignac number, because 137905 - 2⁵ = 137873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137905.

It is not an unprimeable number, because it can be changed into a prime (137909) 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, 13786 + ... + 13795.

It is an arithmetic number, because the mean of its divisors is an integer number (41373).

2¹³⁷⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

137905 is a deficient number, since it is larger than the sum of its proper divisors (27587).

137905 is an equidigital number, since it uses as much as digits as its factorization.

137905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27586.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 137905 is about 371.3556247049. The cubic root of 137905 is about 51.6646316692.

The spelling of 137905 in words is "one hundred thirty-seven thousand, nine hundred five".