131630096 has 40 divisors (see below), whose sum is σ = 278445720. Its totient is φ = 59913216.

The previous prime is 131630089. The next prime is 131630113. The reversal of 131630096 is 690036131.

It can be written as a sum of positive squares in 4 ways, for example, as 5382400 + 126247696 = 2320^2 + 11236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10850 + ... + 19518.

It is an arithmetic number, because the mean of its divisors is an integer number (6961143).

Almost surely, 2^131630096 is an apocalyptic number.

131630096 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 131630096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139222860).

131630096 is an abundant number, since it is smaller than the sum of its proper divisors (146815624).

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

131630096 is a wasteful number, since it uses less digits than its factorization.

131630096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8763 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 131630096 is about 11473.0159940619. The cubic root of 131630096 is about 508.6882810829.

The spelling of 131630096 in words is "one hundred thirty-one million, six hundred thirty thousand, ninety-six".