131923968 has 136 divisors (see below), whose sum is σ = 390067296. Its totient is φ = 39321600.

The previous prime is 131923951. The next prime is 131923969. The reversal of 131923968 is 869329131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131923969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2162658 + ... + 2162718.

Almost surely, 2^131923968 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 131923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195033648).

131923968 is an abundant number, since it is smaller than the sum of its proper divisors (258143328).

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

131923968 is an frugal number, since it uses more digits than its factorization.

131923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 131923968 is about 11485.8159483774. The cubic root of 131923968 is about 509.0665586374.

The spelling of 131923968 in words is "one hundred thirty-one million, nine hundred twenty-three thousand, nine hundred sixty-eight".