131682768 has 80 divisors (see below), whose sum is σ = 409259520. Its totient is φ = 35641728.

The previous prime is 131682757. The next prime is 131682769. The reversal of 131682768 is 867286131.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131682769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3930 + ... + 16697.

It is an arithmetic number, because the mean of its divisors is an integer number (5115744).

Almost surely, 2^131682768 is an apocalyptic number.

It is an amenable number.

131682768 is an abundant number, since it is smaller than the sum of its proper divisors (277576752).

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

131682768 is a wasteful number, since it uses less digits than its factorization.

131682768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20664 (or 20658 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 131682768 is about 11475.3112376092. The cubic root of 131682768 is about 508.7561228529.

The spelling of 131682768 in words is "one hundred thirty-one million, six hundred eighty-two thousand, seven hundred sixty-eight".