131566968 has 192 divisors, whose sum is σ = 410810400. Its totient is φ = 37739520.

The previous prime is 131566957. The next prime is 131566979. The reversal of 131566968 is 869665131.

It is an interprime number because it is at equal distance from previous prime (131566957) and next prime (131566979).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004263 + ... + 1004393.

Almost surely, 2^131566968 is an apocalyptic number.

131566968 is a gapful number since it is divisible by the number (18) 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 131566968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205405200).

131566968 is an abundant number, since it is smaller than the sum of its proper divisors (279243432).

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

131566968 is a wasteful number, since it uses less digits than its factorization.

131566968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 131566968 is about 11470.2645130790. The cubic root of 131566968 is about 508.6069480906.

The spelling of 131566968 in words is "one hundred thirty-one million, five hundred sixty-six thousand, nine hundred sixty-eight".