130872747630240 has 3072 divisors, whose sum is σ = 624245336064000. Its totient is φ = 24779606261760.

The previous prime is 130872747630239. The next prime is 130872747630271. The reversal of 130872747630240 is 42036747278031.

130872747630240 is a `hidden beast` number, since 1 + 3 + 0 + 87 + 27 + 476 + 30 + 2 + 40 = 666.

It is a super-3 number, since 3×130872747630240³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 53702398302 + ... + 53702400738.

It is an arithmetic number, because the mean of its divisors is an integer number (203204862000).

Almost surely, 2^{130872747630240} is an apocalyptic number.

130872747630240 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 130872747630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312122668032000).

130872747630240 is an abundant number, since it is smaller than the sum of its proper divisors (493372588433760).

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

130872747630240 is a wasteful number, since it uses less digits than its factorization.

130872747630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 130872747630240 in words is "one hundred thirty trillion, eight hundred seventy-two billion, seven hundred forty-seven million, six hundred thirty thousand, two hundred forty".