131125200 has 120 divisors (see below), whose sum is σ = 424193088. Its totient is φ = 34621440.

The previous prime is 131125193. The next prime is 131125207. The reversal of 131125200 is 2521131.

131125200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131125193) and next prime (131125207).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 131125200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131125207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135117 + ... + 136083.

Almost surely, 2^131125200 is an apocalyptic number.

131125200 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 131125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212096544).

131125200 is an abundant number, since it is smaller than the sum of its proper divisors (293067888).

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

131125200 is a wasteful number, since it uses less digits than its factorization.

131125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 131125200 is about 11450.9912234706. The cubic root of 131125200 is about 508.0370527048.

Adding to 131125200 its reverse (2521131), we get a palindrome (133646331).

The spelling of 131125200 in words is "one hundred thirty-one million, one hundred twenty-five thousand, two hundred".