131671680 has 256 divisors, whose sum is σ = 489404160. Its totient is φ = 29491200.

The previous prime is 131671669. The next prime is 131671703. The reversal of 131671680 is 86176131.

131671680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1303630 + ... + 1303730.

It is an arithmetic number, because the mean of its divisors is an integer number (1911735).

Almost surely, 2^131671680 is an apocalyptic number.

131671680 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 131671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244702080).

131671680 is an abundant number, since it is smaller than the sum of its proper divisors (357732480).

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

131671680 is a wasteful number, since it uses less digits than its factorization.

131671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 131671680 is about 11474.8281032876. The cubic root of 131671680 is about 508.7418429631.

The spelling of 131671680 in words is "one hundred thirty-one million, six hundred seventy-one thousand, six hundred eighty".