131271200 has 36 divisors (see below), whose sum is σ = 320467770. Its totient is φ = 52508160.

The previous prime is 131271199. The next prime is 131271211. The reversal of 131271200 is 2172131.

It can be written as a sum of positive squares in 3 ways, for example, as 127870864 + 3400336 = 11308^2 + 1844^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 81245 + ... + 82844.

Almost surely, 2^131271200 is an apocalyptic number.

131271200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131271200 is an abundant number, since it is smaller than the sum of its proper divisors (189196570).

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

131271200 is a wasteful number, since it uses less digits than its factorization.

131271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164109 (or 164096 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 131271200 is about 11457.3644438850. The cubic root of 131271200 is about 508.2255389696.

The spelling of 131271200 in words is "one hundred thirty-one million, two hundred seventy-one thousand, two hundred".