137505 has 16 divisors (see below), whose sum is σ = 224640. Its totient is φ = 71808.

The previous prime is 137491. The next prime is 137507. The reversal of 137505 is 505731.

It is a happy number.

It is not a de Polignac number, because 137505 - 2⁹ = 136993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284 + ... + 1386.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2¹³⁷⁵⁰⁵ is an apocalyptic number.

137505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137505 is a deficient number, since it is larger than the sum of its proper divisors (87135).

137505 is a wasteful number, since it uses less digits than its factorization.

137505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 137505 is about 370.8166662921. The cubic root of 137505 is about 51.6146313895.

The spelling of 137505 in words is "one hundred thirty-seven thousand, five hundred five".