131668740 has 240 divisors, whose sum is σ = 500556672. Its totient is φ = 28283904.

The previous prime is 131668739. The next prime is 131668741. The reversal of 131668740 is 47866131.

It is an interprime number because it is at equal distance from previous prime (131668739) and next prime (131668741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131668695 and 131668704.

It is not an unprimeable number, because it can be changed into a prime (131668741) 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 79 ways as a sum of consecutive naturals, for example, 192439 + ... + 193121.

Almost surely, 2^131668740 is an apocalyptic number.

131668740 is a gapful number since it is divisible by the number (10) 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 131668740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250278336).

131668740 is an abundant number, since it is smaller than the sum of its proper divisors (368887932).

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

131668740 is a wasteful number, since it uses less digits than its factorization.

131668740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 131668740 is about 11474.6999960783. The cubic root of 131668740 is about 508.7380564943.

The spelling of 131668740 in words is "one hundred thirty-one million, six hundred sixty-eight thousand, seven hundred forty".