131347072 has 32 divisors (see below), whose sum is σ = 262869300. Its totient is φ = 65372160.

The previous prime is 131347037. The next prime is 131347079. The reversal of 131347072 is 270743131.

It can be written as a sum of positive squares in 2 ways, for example, as 110334016 + 21013056 = 10504^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 131347072.

It is not an unprimeable number, because it can be changed into a prime (131347079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27072 + ... + 31552.

Almost surely, 2^131347072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131434650).

131347072 is an abundant number, since it is smaller than the sum of its proper divisors (131522228).

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

131347072 is an equidigital number, since it uses as much as digits as its factorization.

131347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 131347072 is about 11460.6750237497. The cubic root of 131347072 is about 508.3234346784.

The spelling of 131347072 in words is "one hundred thirty-one million, three hundred forty-seven thousand, seventy-two".