131170800 has 120 divisors (see below), whose sum is σ = 422763120. Its totient is φ = 34764800.

The previous prime is 131170777. The next prime is 131170811. The reversal of 131170800 is 8071131.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 337006 + ... + 337394.

It is an arithmetic number, because the mean of its divisors is an integer number (3523026).

Almost surely, 2^131170800 is an apocalyptic number.

131170800 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 131170800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211381560).

131170800 is an abundant number, since it is smaller than the sum of its proper divisors (291592320).

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

131170800 is a wasteful number, since it uses less digits than its factorization.

131170800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 680 counting only the distinct ones).

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

The square root of 131170800 is about 11452.9821444024. The cubic root of 131170800 is about 508.0959374060.

The spelling of 131170800 in words is "one hundred thirty-one million, one hundred seventy thousand, eight hundred".