130521167280 has 720 divisors, whose sum is σ = 551870392320. Its totient is φ = 27025726464.

The previous prime is 130521167267. The next prime is 130521167317. The reversal of 130521167280 is 82761125031.

130521167280 is a `hidden beast` number, since 1 + 305 + 2 + 11 + 67 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41845561 + ... + 41848679.

It is an arithmetic number, because the mean of its divisors is an integer number (766486656).

Almost surely, 2^130521167280 is an apocalyptic number.

130521167280 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 130521167280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275935196160).

130521167280 is an abundant number, since it is smaller than the sum of its proper divisors (421349225040).

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

130521167280 is a wasteful number, since it uses less digits than its factorization.

130521167280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 130521167280 in words is "one hundred thirty billion, five hundred twenty-one million, one hundred sixty-seven thousand, two hundred eighty".