135625 has 20 divisors (see below), whose sum is σ = 199936. Its totient is φ = 90000.

The previous prime is 135623. The next prime is 135637. The reversal of 135625 is 526531.

It is a happy number.

It is not a de Polignac number, because 135625 - 2¹ = 135623 is a prime.

It is a Duffinian number.

135625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 135596 and 135605.

It is not an unprimeable number, because it can be changed into a prime (135623) 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 19 ways as a sum of consecutive naturals, for example, 4360 + ... + 4390.

135625 is a Friedman number, since it can be written as (5*5)^2*(6^3+1), using all its digits and the basic arithmetic operations.

2¹³⁵⁶²⁵ is an apocalyptic number.

It is an amenable number.

135625 is a deficient number, since it is larger than the sum of its proper divisors (64311).

135625 is an frugal number, since it uses more digits than its factorization.

135625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 135625 is about 368.2729965664. The cubic root of 135625 is about 51.3783220976.

Multiplying 135625 by its product of digits (900), we get a triangular number (122062500 = T₁₅₆₂₄).

The spelling of 135625 in words is "one hundred thirty-five thousand, six hundred twenty-five".