131871000 has 128 divisors (see below), whose sum is σ = 416145600. Its totient is φ = 34764800.

The previous prime is 131870971. The next prime is 131871011. The reversal of 131871000 is 178131.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 338806 + ... + 339194.

Almost surely, 2^131871000 is an apocalyptic number.

131871000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131871000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208072800).

131871000 is an abundant number, since it is smaller than the sum of its proper divisors (284274600).

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

131871000 is a wasteful number, since it uses less digits than its factorization.

131871000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 131871000 is about 11483.5099163975. The cubic root of 131871000 is about 508.9984187650.

The spelling of 131871000 in words is "one hundred thirty-one million, eight hundred seventy-one thousand".