131819080 has 64 divisors (see below), whose sum is σ = 305933760. Its totient is φ = 51088128.

The previous prime is 131819033. The next prime is 131819081. The reversal of 131819080 is 80918131.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (131819081) 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, 297339 + ... + 297781.

It is an arithmetic number, because the mean of its divisors is an integer number (4780215).

Almost surely, 2^131819080 is an apocalyptic number.

131819080 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 131819080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152966880).

131819080 is an abundant number, since it is smaller than the sum of its proper divisors (174114680).

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

131819080 is a wasteful number, since it uses less digits than its factorization.

131819080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The square root of 131819080 is about 11481.2490609689. The cubic root of 131819080 is about 508.9316093656.

The spelling of 131819080 in words is "one hundred thirty-one million, eight hundred nineteen thousand, eighty".