131563328 has 28 divisors (see below), whose sum is σ = 281155140. Its totient is φ = 60721152.

The previous prime is 131563321. The next prime is 131563337. The reversal of 131563328 is 823365131.

131563328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 101445184 = 5488^2 + 10072^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131563294 and 131563303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131563321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78233 + ... + 79896.

It is an arithmetic number, because the mean of its divisors is an integer number (10041255).

Almost surely, 2^131563328 is an apocalyptic number.

It is an amenable number.

131563328 is an abundant number, since it is smaller than the sum of its proper divisors (149591812).

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

131563328 is a wasteful number, since it uses less digits than its factorization.

131563328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158154 (or 158144 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 131563328 is about 11470.1058408369. The cubic root of 131563328 is about 508.6022575861.

The spelling of 131563328 in words is "one hundred thirty-one million, five hundred sixty-three thousand, three hundred twenty-eight".