131299200 has 288 divisors, whose sum is σ = 483406560. Its totient is φ = 33914880.

The previous prime is 131299183. The next prime is 131299243. The reversal of 131299200 is 2992131.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1353552 + ... + 1353648.

It is an arithmetic number, because the mean of its divisors is an integer number (1678495).

Almost surely, 2^131299200 is an apocalyptic number.

131299200 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 131299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241703280).

131299200 is an abundant number, since it is smaller than the sum of its proper divisors (352107360).

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

131299200 is a wasteful number, since it uses less digits than its factorization.

131299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 131299200 is about 11458.5863002379. The cubic root of 131299200 is about 508.2616710469.

The spelling of 131299200 in words is "one hundred thirty-one million, two hundred ninety-nine thousand, two hundred".