130752758640 has 320 divisors, whose sum is σ = 471148987392. Its totient is φ = 29378764800.

The previous prime is 130752758623. The next prime is 130752758651. The reversal of 130752758640 is 46857257031.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 130752758640.

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 63 ways as a sum of consecutive naturals, for example, 40592230 + ... + 40595450.

Almost surely, 2^130752758640 is an apocalyptic number.

130752758640 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 130752758640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235574493696).

130752758640 is an abundant number, since it is smaller than the sum of its proper divisors (340396228752).

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

130752758640 is a wasteful number, since it uses less digits than its factorization.

130752758640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 130752758640 in words is "one hundred thirty billion, seven hundred fifty-two million, seven hundred fifty-eight thousand, six hundred forty".