180125 has 16 divisors (see below), whose sum is σ = 247104. Its totient is φ = 130000.

The previous prime is 180097. The next prime is 180137. The reversal of 180125 is 521081.

180125 = 20³ + 21³ + ... + 30³.

It is not a de Polignac number, because 180125 - 2¹⁴ = 163741 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1310 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (15444).

2¹⁸⁰¹²⁵ is an apocalyptic number.

It is an amenable number.

180125 is a deficient number, since it is larger than the sum of its proper divisors (66979).

180125 is a wasteful number, since it uses less digits than its factorization.

180125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 180125 is about 424.4113570582. The cubic root of 180125 is about 56.4752286534.

It can be divided in two parts, 180 and 125, that multiplied together give a square (22500 = 150²).

The spelling of 180125 in words is "one hundred eighty thousand, one hundred twenty-five".