131168000 has 72 divisors (see below), whose sum is σ = 326835600. Its totient is φ = 52454400.

The previous prime is 131167999. The next prime is 131168003. The reversal of 131168000 is 861131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131168003) 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 7 ways as a sum of consecutive naturals, for example, 29951 + ... + 34049.

Almost surely, 2^131168000 is an apocalyptic number.

131168000 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 131168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163417800).

131168000 is an abundant number, since it is smaller than the sum of its proper divisors (195667600).

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

131168000 is an frugal number, since it uses more digits than its factorization.

131168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 131168000 is about 11452.8599048447. The cubic root of 131168000 is about 508.0923220721.

The spelling of 131168000 in words is "one hundred thirty-one million, one hundred sixty-eight thousand".