131410080 has 192 divisors, whose sum is σ = 484444800. Its totient is φ = 33177600.

The previous prime is 131410067. The next prime is 131410093. The reversal of 131410080 is 80014131.

It is an interprime number because it is at equal distance from previous prime (131410067) and next prime (131410093).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 81280 + ... + 82880.

It is an arithmetic number, because the mean of its divisors is an integer number (2523150).

Almost surely, 2^131410080 is an apocalyptic number.

131410080 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 131410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242222400).

131410080 is an abundant number, since it is smaller than the sum of its proper divisors (353034720).

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

131410080 is a wasteful number, since it uses less digits than its factorization.

131410080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 131410080 is about 11463.4235723888. The cubic root of 131410080 is about 508.4047036463.

The spelling of 131410080 in words is "one hundred thirty-one million, four hundred ten thousand, eighty".