130289450434560 has 1440 divisors, whose sum is σ = 497632816961280. Its totient is φ = 32588408291328.

The previous prime is 130289450434391. The next prime is 130289450434603. The reversal of 130289450434560 is 65434054982031.

It is a happy number.

130289450434560 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 8 + 9 + 45 + 0 + 4 + 34 + 560 = 666.

130289450434560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 130289450434497 and 130289450434506.

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 95 ways as a sum of consecutive naturals, for example, 148562656842 + ... + 148562657718.

It is an arithmetic number, because the mean of its divisors is an integer number (345578345112).

Almost surely, 2^{130289450434560} is an apocalyptic number.

130289450434560 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 130289450434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248816408480640).

130289450434560 is an abundant number, since it is smaller than the sum of its proper divisors (367343366526720).

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

130289450434560 is an frugal number, since it uses more digits than its factorization.

130289450434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 130289450434560 in words is "one hundred thirty trillion, two hundred eighty-nine billion, four hundred fifty million, four hundred thirty-four thousand, five hundred sixty".