130364640 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 29735424.

The previous prime is 130364623. The next prime is 130364651. The reversal of 130364640 is 46463031.

130364640 is a `hidden beast` number, since 13 + 0 + 3 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 271921 + ... + 272399.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^130364640 is an apocalyptic number.

130364640 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 130364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

130364640 is an abundant number, since it is smaller than the sum of its proper divisors (397988640).

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

130364640 is an equidigital number, since it uses as much as digits as its factorization.

130364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 130364640 is about 11417.7335754518. The cubic root of 130364640 is about 507.0528987906.

The spelling of 130364640 in words is "one hundred thirty million, three hundred sixty-four thousand, six hundred forty".