130752375264 has 288 divisors, whose sum is σ = 451576472256. Its totient is φ = 35032596480.

The previous prime is 130752375239. The next prime is 130752375283. The reversal of 130752375264 is 462573257031.

130752375264 is a `hidden beast` number, since 1 + 30 + 7 + 523 + 75 + 26 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9623644 + ... + 9637220.

It is an arithmetic number, because the mean of its divisors is an integer number (1567973862).

Almost surely, 2^130752375264 is an apocalyptic number.

130752375264 is a gapful number since it is divisible by the number (14) 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 130752375264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225788236128).

130752375264 is an abundant number, since it is smaller than the sum of its proper divisors (320824096992).

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

130752375264 is a wasteful number, since it uses less digits than its factorization.

130752375264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13898 (or 13887 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 130752375264 in words is "one hundred thirty billion, seven hundred fifty-two million, three hundred seventy-five thousand, two hundred sixty-four".