137525 has 6 divisors (see below), whose sum is σ = 170562. Its totient is φ = 110000.

The previous prime is 137519. The next prime is 137537. The reversal of 137525 is 525731.

It can be written as a sum of positive squares in 3 ways, for example, as 40804 + 96721 = 202^2 + 311^2 .

It is not a de Polignac number, because 137525 - 2¹⁰ = 136501 is a prime.

It is a d-powerful number, because it can be written as 1 + 3¹⁰ + 5 + 7³ + 2 + 5⁷ .

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 137525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2726 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (28427).

2¹³⁷⁵²⁵ is an apocalyptic number.

It is an amenable number.

137525 is a deficient number, since it is larger than the sum of its proper divisors (33037).

137525 is an equidigital number, since it uses as much as digits as its factorization.

137525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5506 counting only the distinct ones).

The product of its digits is 1050, while the sum is 23.

The square root of 137525 is about 370.8436328158. The cubic root of 137525 is about 51.6171337048.

The spelling of 137525 in words is "one hundred thirty-seven thousand, five hundred twenty-five".