131129712 has 160 divisors (see below), whose sum is σ = 435368960. Its totient is φ = 37013760.

The previous prime is 131129707. The next prime is 131129731. The reversal of 131129712 is 217921131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311262 + ... + 311682.

It is an arithmetic number, because the mean of its divisors is an integer number (2721056).

Almost surely, 2^131129712 is an apocalyptic number.

131129712 is a gapful number since it is divisible by the number (12) 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 131129712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217684480).

131129712 is an abundant number, since it is smaller than the sum of its proper divisors (304239248).

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

131129712 is a wasteful number, since it uses less digits than its factorization.

131129712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 131129712 is about 11451.1882352881. The cubic root of 131129712 is about 508.0428797996.

It can be divided in two parts, 131129 and 712, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 131129712 in words is "one hundred thirty-one million, one hundred twenty-nine thousand, seven hundred twelve".