130971544704 has 1536 divisors, whose sum is σ = 555535411200. Its totient is φ = 29328998400.

The previous prime is 130971544657. The next prime is 130971544741. The reversal of 130971544704 is 407445179031.

It is a happy number.

130971544704 is a `hidden beast` number, since 1 + 30 + 9 + 7 + 1 + 544 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 130971544704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 999782719 + ... + 999782849.

It is an arithmetic number, because the mean of its divisors is an integer number (361676700).

Almost surely, 2^130971544704 is an apocalyptic number.

130971544704 is a gapful number since it is divisible by the number (14) 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 130971544704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277767705600).

130971544704 is an abundant number, since it is smaller than the sum of its proper divisors (424563866496).

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

130971544704 is a wasteful number, since it uses less digits than its factorization.

130971544704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 130971544704 in words is "one hundred thirty billion, nine hundred seventy-one million, five hundred forty-four thousand, seven hundred four".