131793200 has 180 divisors, whose sum is σ = 398776560. Its totient is φ = 40972800.

The previous prime is 131793199. The next prime is 131793203. The reversal of 131793200 is 2397131.

It is a self number, because there is not a number n which added to its sum of digits gives 131793200.

It is not an unprimeable number, because it can be changed into a prime (131793203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338606 + ... + 338994.

Almost surely, 2^131793200 is an apocalyptic number.

131793200 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 131793200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199388280).

131793200 is an abundant number, since it is smaller than the sum of its proper divisors (266983360).

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

131793200 is a wasteful number, since it uses less digits than its factorization.

131793200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 131793200 is about 11480.1219505718. The cubic root of 131793200 is about 508.8983010562.

The spelling of 131793200 in words is "one hundred thirty-one million, seven hundred ninety-three thousand, two hundred".