130691132522496 has 3072 divisors, whose sum is σ = 513948748032000. Its totient is φ = 32064531333120.

The previous prime is 130691132522479. The next prime is 130691132522567. The reversal of 130691132522496 is 694225231196031.

130691132522496 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 9 + 1 + 1 + 325 + 224 + 96 = 666.

130691132522496 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 (3072).

It is a super-2 number, since 2×130691132522496² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1468439691220 + ... + 1468439691308.

It is an arithmetic number, because the mean of its divisors is an integer number (167301024750).

Almost surely, 2^{130691132522496} is an apocalyptic number.

130691132522496 is a gapful number since it is divisible by the number (16) 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 130691132522496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256974374016000).

130691132522496 is an abundant number, since it is smaller than the sum of its proper divisors (383257615509504).

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

130691132522496 is an equidigital number, since it uses as much as digits as its factorization.

130691132522496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 130691132522496 in words is "one hundred thirty trillion, six hundred ninety-one billion, one hundred thirty-two million, five hundred twenty-two thousand, four hundred ninety-six".