131371680 has 192 divisors, whose sum is σ = 457228800. Its totient is φ = 31441920.

The previous prime is 131371651. The next prime is 131371697. The reversal of 131371680 is 86173131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 733831 + ... + 734009.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^131371680 is an apocalyptic number.

131371680 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 131371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

131371680 is an abundant number, since it is smaller than the sum of its proper divisors (325857120).

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

131371680 is a wasteful number, since it uses less digits than its factorization.

131371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

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

The square root of 131371680 is about 11461.7485577027. The cubic root of 131371680 is about 508.3551776572.

The spelling of 131371680 in words is "one hundred thirty-one million, three hundred seventy-one thousand, six hundred eighty".