131797200 has 60 divisors (see below), whose sum is σ = 422194208. Its totient is φ = 35145600.

The previous prime is 131797189. The next prime is 131797217. The reversal of 131797200 is 2797131.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 11 ways as a sum of consecutive naturals, for example, 53716 + ... + 56115.

Almost surely, 2^131797200 is an apocalyptic number.

131797200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131797200 is an abundant number, since it is smaller than the sum of its proper divisors (290397008).

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

131797200 is a wasteful number, since it uses less digits than its factorization.

131797200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109852 (or 109841 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 131797200 is about 11480.2961634271. The cubic root of 131797200 is about 508.9034494569.

The spelling of 131797200 in words is "one hundred thirty-one million, seven hundred ninety-seven thousand, two hundred".