130166415446220 has 192 divisors, whose sum is σ = 408573642516480. Its totient is φ = 34401532032000.

The previous prime is 130166415446213. The next prime is 130166415446261. The reversal of 130166415446220 is 22644514661031.

130166415446220 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 6 + 6 + 4 + 15 + 4 + 4 + 622 + 0 = 666.

130166415446220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1015979965 + ... + 1016108075.

It is an arithmetic number, because the mean of its divisors is an integer number (2127987721440).

Almost surely, 2^{130166415446220} is an apocalyptic number.

130166415446220 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 130166415446220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204286821258240).

130166415446220 is an abundant number, since it is smaller than the sum of its proper divisors (278407227070260).

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

130166415446220 is a wasteful number, since it uses less digits than its factorization.

130166415446220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144893 (or 144885 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 130166415446220 in words is "one hundred thirty trillion, one hundred sixty-six billion, four hundred fifteen million, four hundred forty-six thousand, two hundred twenty".