131250 has 48 divisors (see below), whose sum is σ = 374976. Its totient is φ = 30000.

The previous prime is 131249. The next prime is 131251. The reversal of 131250 is 52131.

It is an interprime number because it is at equal distance from previous prime (131249) and next prime (131251).

It is a Curzon number.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18747 + ... + 18753.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

131250 is a Friedman number, since it can be written as 210*5^(3+1), using all its digits and the basic arithmetic operations.

2¹³¹²⁵⁰ is an apocalyptic number.

131250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

131250 is an abundant number, since it is smaller than the sum of its proper divisors (243726).

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

131250 is an frugal number, since it uses more digits than its factorization.

131250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 131250 is about 362.2844186547. The cubic root of 131250 is about 50.8198178407.

Adding to 131250 its reverse (52131), we get a palindrome (183381).

The spelling of 131250 in words is "one hundred thirty-one thousand, two hundred fifty".