125200 has 30 divisors (see below), whose sum is σ = 301754. Its totient is φ = 49920.

The previous prime is 125197. The next prime is 125201. The reversal of 125200 is 2521.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 123904 = 36^2 + 352^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125201) 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 5 ways as a sum of consecutive naturals, for example, 244 + ... + 556.

2¹²⁵²⁰⁰ is an apocalyptic number.

125200 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 125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150877).

125200 is an abundant number, since it is smaller than the sum of its proper divisors (176554).

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

125200 is a wasteful number, since it uses less digits than its factorization.

125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 125200 is about 353.8361202591. The cubic root of 125200 is about 50.0266524571.

Adding to 125200 its reverse (2521), we get a palindrome (127721).

It can be divided in two parts, 125 and 200, that added together give a triangular number (325 = T₂₅).

The spelling of 125200 in words is "one hundred twenty-five thousand, two hundred".