131617200 has 360 divisors, whose sum is σ = 506485440. Its totient is φ = 28953600.

The previous prime is 131617193. The next prime is 131617217. The reversal of 131617200 is 2716131.

131617200 is a nontrivial binomial coefficient, being equal to C(16225, 2).

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 71 ways as a sum of consecutive naturals, for example, 2230771 + ... + 2230829.

It is an arithmetic number, because the mean of its divisors is an integer number (1406904).

Almost surely, 2^131617200 is an apocalyptic number.

131617200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131617200 is the 16224-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131617200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253242720).

131617200 is an abundant number, since it is smaller than the sum of its proper divisors (374868240).

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

131617200 is a wasteful number, since it uses less digits than its factorization.

131617200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 131617200 is about 11472.4539659133. The cubic root of 131617200 is about 508.6716682197.

The spelling of 131617200 in words is "one hundred thirty-one million, six hundred seventeen thousand, two hundred".