130755664 has 80 divisors (see below), whose sum is σ = 288262800. Its totient is φ = 57028608.

The previous prime is 130755643. The next prime is 130755671. The reversal of 130755664 is 466557031.

It can be written as a sum of positive squares in 8 ways, for example, as 3968064 + 126787600 = 1992^2 + 11260^2 .

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 15 ways as a sum of consecutive naturals, for example, 319492 + ... + 319900.

It is an arithmetic number, because the mean of its divisors is an integer number (3603285).

Almost surely, 2^130755664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130755664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144131400).

130755664 is an abundant number, since it is smaller than the sum of its proper divisors (157507136).

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

130755664 is a wasteful number, since it uses less digits than its factorization.

130755664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 130755664 is about 11434.8442927746. The cubic root of 130755664 is about 507.5593550095.

The spelling of 130755664 in words is "one hundred thirty million, seven hundred fifty-five thousand, six hundred sixty-four".