131302080 has 448 divisors, whose sum is σ = 573511680. Its totient is φ = 27537408.

The previous prime is 131302079. The next prime is 131302097. The reversal of 131302080 is 80203131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×131302080³ (a number of 25 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 786157 + ... + 786323.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^131302080 is an apocalyptic number.

131302080 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 131302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

131302080 is an abundant number, since it is smaller than the sum of its proper divisors (442209600).

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

131302080 is a wasteful number, since it uses less digits than its factorization.

131302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131302080 is about 11458.7119695016. The cubic root of 131302080 is about 508.2653871978.

The spelling of 131302080 in words is "one hundred thirty-one million, three hundred two thousand, eighty".