131964768 has 192 divisors, whose sum is σ = 429004800. Its totient is φ = 39191040.

The previous prime is 131964757. The next prime is 131964779. The reversal of 131964768 is 867469131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131964757) and next prime (131964779).

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 31 ways as a sum of consecutive naturals, for example, 348003 + ... + 348381.

It is an arithmetic number, because the mean of its divisors is an integer number (2234400).

Almost surely, 2^131964768 is an apocalyptic number.

131964768 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 131964768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

131964768 is an abundant number, since it is smaller than the sum of its proper divisors (297040032).

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

131964768 is a wasteful number, since it uses less digits than its factorization.

131964768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 131964768 is about 11487.5919147574. The cubic root of 131964768 is about 509.1190327382.

The spelling of 131964768 in words is "one hundred thirty-one million, nine hundred sixty-four thousand, seven hundred sixty-eight".