131908968 has 96 divisors (see below), whose sum is σ = 372752640. Its totient is φ = 42094080.

The previous prime is 131908961. The next prime is 131909017. The reversal of 131908968 is 869809131.

It is not an unprimeable number, because it can be changed into a prime (131908961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251955 + ... + 252477.

It is an arithmetic number, because the mean of its divisors is an integer number (3882840).

Almost surely, 2^131908968 is an apocalyptic number.

131908968 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 131908968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186376320).

131908968 is an abundant number, since it is smaller than the sum of its proper divisors (240843672).

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

131908968 is a wasteful number, since it uses less digits than its factorization.

131908968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 131908968 is about 11485.1629505201. The cubic root of 131908968 is about 509.0472639686.

The spelling of 131908968 in words is "one hundred thirty-one million, nine hundred eight thousand, nine hundred sixty-eight".