125250 has 32 divisors (see below), whose sum is σ = 314496. Its totient is φ = 33200.

The previous prime is 125243. The next prime is 125261. The reversal of 125250 is 52521.

125250 is a nontrivial binomial coefficient, being equal to C(501, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2¹²⁵²⁵⁰ is an apocalyptic number.

125250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125250 is the 500-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

125250 is an abundant number, since it is smaller than the sum of its proper divisors (189246).

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

125250 is a wasteful number, since it uses less digits than its factorization.

125250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 125250 is about 353.9067673837. The cubic root of 125250 is about 50.0333111358.

Adding to 125250 its reverse (52521), we get a palindrome (177771).

The spelling of 125250 in words is "one hundred twenty-five thousand, two hundred fifty".