130490640 has 240 divisors, whose sum is σ = 530644608. Its totient is φ = 28053504.

The previous prime is 130490609. The next prime is 130490641. The reversal of 130490640 is 46094031.

130490640 is a `hidden beast` number, since 13 + 0 + 4 + 9 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (130490641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84919 + ... + 86441.

Almost surely, 2^130490640 is an apocalyptic number.

130490640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130490640 is the 5712-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130490640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265322304).

130490640 is an abundant number, since it is smaller than the sum of its proper divisors (400153968).

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

130490640 is a wasteful number, since it uses less digits than its factorization.

130490640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130490640 is about 11423.2499753792. The cubic root of 130490640 is about 507.2162050702.

The spelling of 130490640 in words is "one hundred thirty million, four hundred ninety thousand, six hundred forty".