131662116 has 36 divisors (see below), whose sum is σ = 337506624. Its totient is φ = 43268400.

The previous prime is 131662103. The next prime is 131662129. The reversal of 131662116 is 611266131.

131662116 is a `hidden beast` number, since 1 + 31 + 6 + 621 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (131662103) and next prime (131662129).

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131662116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23200 + ... + 28311.

It is an arithmetic number, because the mean of its divisors is an integer number (9375184).

Almost surely, 2^131662116 is an apocalyptic number.

It is an amenable number.

131662116 is an abundant number, since it is smaller than the sum of its proper divisors (205844508).

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

131662116 is a wasteful number, since it uses less digits than its factorization.

131662116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51592 (or 51587 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 131662116 is about 11474.4113574510. The cubic root of 131662116 is about 508.7295251415.

The spelling of 131662116 in words is "one hundred thirty-one million, six hundred sixty-two thousand, one hundred sixteen".