131431680 has 144 divisors (see below), whose sum is σ = 466522560. Its totient is φ = 35039232.

The previous prime is 131431673. The next prime is 131431681. The reversal of 131431680 is 86134131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131431681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32659 + ... + 36461.

It is an arithmetic number, because the mean of its divisors is an integer number (3239740).

Almost surely, 2^131431680 is an apocalyptic number.

131431680 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 131431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233261280).

131431680 is an abundant number, since it is smaller than the sum of its proper divisors (335090880).

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

131431680 is an equidigital number, since it uses as much as digits as its factorization.

131431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131431680 is about 11464.3656606024. The cubic root of 131431680 is about 508.4325577753.

The spelling of 131431680 in words is "one hundred thirty-one million, four hundred thirty-one thousand, six hundred eighty".