131908000 has 144 divisors (see below), whose sum is σ = 377572104. Its totient is φ = 45158400.

The previous prime is 131907983. The next prime is 131908001. The reversal of 131908000 is 809131.

It can be written as a sum of positive squares in 4 ways, for example, as 28601104 + 103306896 = 5348^2 + 10164^2 .

It is not an unprimeable number, because it can be changed into a prime (131908001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195664 + ... + 196336.

Almost surely, 2^131908000 is an apocalyptic number.

131908000 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 131908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188786052).

131908000 is an abundant number, since it is smaller than the sum of its proper divisors (245664104).

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

131908000 is an equidigital number, since it uses as much as digits as its factorization.

131908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 131908000 is about 11485.1208091165. The cubic root of 131908000 is about 509.0460187691.

The spelling of 131908000 in words is "one hundred thirty-one million, nine hundred eight thousand".