130185834240 has 864 divisors, whose sum is σ = 544921896960. Its totient is φ = 26166067200.

The previous prime is 130185834227. The next prime is 130185834307. The reversal of 130185834240 is 42438581031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64161546 + ... + 64163574.

It is an arithmetic number, because the mean of its divisors is an integer number (630696640).

Almost surely, 2^130185834240 is an apocalyptic number.

130185834240 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 130185834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272460948480).

130185834240 is an abundant number, since it is smaller than the sum of its proper divisors (414736062720).

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

130185834240 is a wasteful number, since it uses less digits than its factorization.

130185834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 130185834240 in words is "one hundred thirty billion, one hundred eighty-five million, eight hundred thirty-four thousand, two hundred forty".