131683968 has 160 divisors (see below), whose sum is σ = 422466660. Its totient is φ = 40476672.

The previous prime is 131683961. The next prime is 131683969. The reversal of 131683968 is 869386131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131056704 + 627264 = 11448^2 + 792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (131683961) 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 19 ways as a sum of consecutive naturals, for example, 134296 + ... + 135272.

Almost surely, 2^131683968 is an apocalyptic number.

131683968 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 131683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211233330).

131683968 is an abundant number, since it is smaller than the sum of its proper divisors (290782692).

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

131683968 is an equidigital number, since it uses as much as digits as its factorization.

131683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 995 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 131683968 is about 11475.3635236536. The cubic root of 131683968 is about 508.7576682474.

It can be divided in two parts, 131683 and 968, that added together give a cube (132651 = 51³).

The spelling of 131683968 in words is "one hundred thirty-one million, six hundred eighty-three thousand, nine hundred sixty-eight".