131126528 has 108 divisors (see below), whose sum is σ = 298364724. Its totient is φ = 57139200.

The previous prime is 131126521. The next prime is 131126539. The reversal of 131126528 is 825621131.

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 119071744 = 3472^2 + 10912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131126528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131126521) 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 11 ways as a sum of consecutive naturals, for example, 3198188 + ... + 3198228.

Almost surely, 2^131126528 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 131126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149182362).

131126528 is an abundant number, since it is smaller than the sum of its proper divisors (167238196).

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

131126528 is an equidigital number, since it uses as much as digits as its factorization.

131126528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 87 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 131126528 is about 11451.0492095703. The cubic root of 131126528 is about 508.0387677856.

Adding to 131126528 its reverse (825621131), we get a palindrome (956747659).

The spelling of 131126528 in words is "one hundred thirty-one million, one hundred twenty-six thousand, five hundred twenty-eight".