130205434504140 has 144 divisors (see below), whose sum is σ = 401452996613760. Its totient is φ = 34150389143040.

The previous prime is 130205434504111. The next prime is 130205434504153. The reversal of 130205434504140 is 41405434502031.

130205434504140 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 0 + 5 + 4 + 3 + 4 + 504 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130205434504095 and 130205434504104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207857082 + ... + 208482558.

It is an arithmetic number, because the mean of its divisors is an integer number (2787868032040).

Almost surely, 2^{130205434504140} is an apocalyptic number.

130205434504140 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 130205434504140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200726498306880).

130205434504140 is an abundant number, since it is smaller than the sum of its proper divisors (271247562109620).

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

130205434504140 is a wasteful number, since it uses less digits than its factorization.

130205434504140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644512 (or 644507 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 130205434504140 in words is "one hundred thirty trillion, two hundred five billion, four hundred thirty-four million, five hundred four thousand, one hundred forty".