131819490 has 96 divisors (see below), whose sum is σ = 381977856. Its totient is φ = 31265280.

The previous prime is 131819461. The next prime is 131819491. The reversal of 131819490 is 94918131.

It is not an unprimeable number, because it can be changed into a prime (131819491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45114 + ... + 47946.

It is an arithmetic number, because the mean of its divisors is an integer number (3978936).

Almost surely, 2^131819490 is an apocalyptic number.

131819490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131819490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190988928).

131819490 is an abundant number, since it is smaller than the sum of its proper divisors (250158366).

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

131819490 is a wasteful number, since it uses less digits than its factorization.

131819490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 131819490 is about 11481.2669161552. The cubic root of 131819490 is about 508.9321370123.

The spelling of 131819490 in words is "one hundred thirty-one million, eight hundred nineteen thousand, four hundred ninety".