131878528 has 32 divisors (see below), whose sum is σ = 265354020. Its totient is φ = 65286400.

The previous prime is 131878517. The next prime is 131878531. The reversal of 131878528 is 825878131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 103063104 + 28815424 = 10152^2 + 5368^2 .

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

It is a super-2 number, since 2×131878528² = 34783892294893568, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1305678 + ... + 1305778.

Almost surely, 2^131878528 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 131878528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132677010).

131878528 is an abundant number, since it is smaller than the sum of its proper divisors (133475492).

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

131878528 is an frugal number, since it uses more digits than its factorization.

131878528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 103 counting only the distinct ones).

The product of its digits is 107520, while the sum is 43.

The square root of 131878528 is about 11483.8376860699. The cubic root of 131878528 is about 509.0081041575.

The spelling of 131878528 in words is "one hundred thirty-one million, eight hundred seventy-eight thousand, five hundred twenty-eight".