130758747840 has 672 divisors, whose sum is σ = 542918538240. Its totient is φ = 28217548800.

The previous prime is 130758747811. The next prime is 130758747863. The reversal of 130758747840 is 48747857031.

130758747840 is a `hidden beast` number, since 13 + 0 + 7 + 587 + 4 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207224325 + ... + 207224955.

Almost surely, 2^130758747840 is an apocalyptic number.

130758747840 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 130758747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271459269120).

130758747840 is an abundant number, since it is smaller than the sum of its proper divisors (412159790400).

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

130758747840 is a wasteful number, since it uses less digits than its factorization.

130758747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 130758747840 in words is "one hundred thirty billion, seven hundred fifty-eight million, seven hundred forty-seven thousand, eight hundred forty".