137825 has 12 divisors (see below), whose sum is σ = 176700. Its totient is φ = 106560.

The previous prime is 137803. The next prime is 137827. The reversal of 137825 is 528731.

137825 = 1² + 2² + ... + 74².

It can be written as a sum of positive squares in 6 ways, for example, as 2401 + 135424 = 49^2 + 368^2 .

It is not a de Polignac number, because 137825 - 2¹⁴ = 121441 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137794 and 137803.

It is not an unprimeable number, because it can be changed into a prime (137827) 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 11 ways as a sum of consecutive naturals, for example, 851 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (14725).

2¹³⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

137825 is a deficient number, since it is larger than the sum of its proper divisors (38875).

137825 is a wasteful number, since it uses less digits than its factorization.

137825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 137825 is about 371.2478956169. The cubic root of 137825 is about 51.6546393556.

The spelling of 137825 in words is "one hundred thirty-seven thousand, eight hundred twenty-five".