131968720 has 120 divisors (see below), whose sum is σ = 341469216. Its totient is φ = 47384064.

The previous prime is 131968717. The next prime is 131968723. The reversal of 131968720 is 27869131.

It is an interprime number because it is at equal distance from previous prime (131968717) and next prime (131968723).

It is a self number, because there is not a number n which added to its sum of digits gives 131968720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131968723) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 581247 + ... + 581473.

Almost surely, 2^131968720 is an apocalyptic number.

131968720 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 131968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170734608).

131968720 is an abundant number, since it is smaller than the sum of its proper divisors (209500496).

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

131968720 is a wasteful number, since it uses less digits than its factorization.

131968720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 131968720 is about 11487.7639251510. The cubic root of 131968720 is about 509.1241149491.

The spelling of 131968720 in words is "one hundred thirty-one million, nine hundred sixty-eight thousand, seven hundred twenty".