131889160 has 32 divisors (see below), whose sum is σ = 319578840. Its totient is φ = 48697344.

The previous prime is 131889151. The next prime is 131889161. The reversal of 131889160 is 61988131.

131889160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 71267364 + 60621796 = 8442^2 + 7786^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (131889161) 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, 126297 + ... + 127336.

Almost surely, 2^131889160 is an apocalyptic number.

131889160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131889160 is an abundant number, since it is smaller than the sum of its proper divisors (187689680).

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

131889160 is a wasteful number, since it uses less digits than its factorization.

131889160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253657 (or 253653 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 131889160 is about 11484.3005881943. The cubic root of 131889160 is about 509.0217824740.

The spelling of 131889160 in words is "one hundred thirty-one million, eight hundred eighty-nine thousand, one hundred sixty".