131164176 has 160 divisors (see below), whose sum is σ = 404224128. Its totient is φ = 36126720.

The previous prime is 131164171. The next prime is 131164177. The reversal of 131164176 is 671461131.

It is not an unprimeable number, because it can be changed into a prime (131164171) 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 31 ways as a sum of consecutive naturals, for example, 665710 + ... + 665906.

Almost surely, 2^131164176 is an apocalyptic number.

131164176 is a gapful number since it is divisible by the number (16) 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 131164176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202112064).

131164176 is an abundant number, since it is smaller than the sum of its proper divisors (273059952).

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

131164176 is a wasteful number, since it uses less digits than its factorization.

131164176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 131164176 is about 11452.6929584269. The cubic root of 131164176 is about 508.0873844757.

The spelling of 131164176 in words is "one hundred thirty-one million, one hundred sixty-four thousand, one hundred seventy-six".