131578905 has 16 divisors (see below), whose sum is σ = 210977280. Its totient is φ = 70025088.

The previous prime is 131578879. The next prime is 131578907. The reversal of 131578905 is 509875131.

It is not a de Polignac number, because 131578905 - 2⁵ = 131578873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131578907) 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 15 ways as a sum of consecutive naturals, for example, 1972 + ... + 16341.

It is an arithmetic number, because the mean of its divisors is an integer number (13186080).

Almost surely, 2^131578905 is an apocalyptic number.

131578905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131578905 is a deficient number, since it is larger than the sum of its proper divisors (79398375).

131578905 is a wasteful number, since it uses less digits than its factorization.

131578905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18800.

The product of its (nonzero) digits is 37800, while the sum is 39.

The square root of 131578905 is about 11470.7848467313. The cubic root of 131578905 is about 508.6223295034.

The spelling of 131578905 in words is "one hundred thirty-one million, five hundred seventy-eight thousand, nine hundred five".