130591440 has 200 divisors, whose sum is σ = 518538240. Its totient is φ = 29839104.

The previous prime is 130591421. The next prime is 130591441. The reversal of 130591440 is 44195031.

130591440 is a `hidden beast` number, since 1 + 30 + 591 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130591441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43921 + ... + 46799.

Almost surely, 2^130591440 is an apocalyptic number.

130591440 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 130591440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

130591440 is an abundant number, since it is smaller than the sum of its proper divisors (387946800).

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

130591440 is a wasteful number, since it uses less digits than its factorization.

130591440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130591440 is about 11427.6611780364. The cubic root of 130591440 is about 507.3467744208.

The spelling of 130591440 in words is "one hundred thirty million, five hundred ninety-one thousand, four hundred forty".