131747968 has 64 divisors (see below), whose sum is σ = 288839520. Its totient is φ = 59361280.

The previous prime is 131747951. The next prime is 131747969. The reversal of 131747968 is 869747131.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (131747969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192555 + ... + 193237.

Almost surely, 2^131747968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144419760).

131747968 is an abundant number, since it is smaller than the sum of its proper divisors (157091552).

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

131747968 is a wasteful number, since it uses less digits than its factorization.

131747968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 833 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 131747968 is about 11478.1517675974. The cubic root of 131747968 is about 508.8400756904.

The spelling of 131747968 in words is "one hundred thirty-one million, seven hundred forty-seven thousand, nine hundred sixty-eight".