131700096 has 192 divisors, whose sum is σ = 435988800. Its totient is φ = 37739520.

The previous prime is 131700083. The next prime is 131700097. The reversal of 131700096 is 690007131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131700097) by changing a digit.

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, 240495 + ... + 241041.

It is an arithmetic number, because the mean of its divisors is an integer number (2270775).

Almost surely, 2^131700096 is an apocalyptic number.

131700096 is a gapful number since it is divisible by the number (16) 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 131700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217994400).

131700096 is an abundant number, since it is smaller than the sum of its proper divisors (304288704).

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

131700096 is a wasteful number, since it uses less digits than its factorization.

131700096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131700096 is about 11476.0662249745. The cubic root of 131700096 is about 508.7784374391.

The spelling of 131700096 in words is "one hundred thirty-one million, seven hundred thousand, ninety-six".