131048580 has 96 divisors (see below), whose sum is σ = 418449024. Its totient is φ = 30357504.

The previous prime is 131048573. The next prime is 131048591. The reversal of 131048580 is 85840131.

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, 8319 + ... + 18201.

It is an arithmetic number, because the mean of its divisors is an integer number (4358844).

Almost surely, 2^131048580 is an apocalyptic number.

131048580 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 131048580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209224512).

131048580 is an abundant number, since it is smaller than the sum of its proper divisors (287400444).

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

131048580 is a wasteful number, since it uses less digits than its factorization.

131048580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9925 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 131048580 is about 11447.6451726982. The cubic root of 131048580 is about 507.9380801624.

The spelling of 131048580 in words is "one hundred thirty-one million, forty-eight thousand, five hundred eighty".