125800 has 48 divisors (see below), whose sum is σ = 318060. Its totient is φ = 46080.

The previous prime is 125791. The next prime is 125803. The reversal of 125800 is 8521.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 91204 + 34596 = 302^2 + 186^2 .

It is a sliding number, since 125800 = 800 + 125000 and 1/800 + 1/125000 = 0.00125800.

It is not an unprimeable number, because it can be changed into a prime (125803) by changing a digit.

125800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3382 + ... + 3418.

2¹²⁵⁸⁰⁰ is an apocalyptic number.

125800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159030).

125800 is an abundant number, since it is smaller than the sum of its proper divisors (192260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125800 is a wasteful number, since it uses less digits than its factorization.

125800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 125800 is about 354.6829570194. The cubic root of 125800 is about 50.1064399168.

It can be divided in two parts, 125 and 800, that multiplied together give a 5-th power (100000 = 10⁵).

The spelling of 125800 in words is "one hundred twenty-five thousand, eight hundred".