130807127156992 has 216 divisors, whose sum is σ = 309028754367648. Its totient is φ = 54778661683200.

The previous prime is 130807127156939. The next prime is 130807127156999. The reversal of 130807127156992 is 299651721708031.

It is a super-2 number, since 2×130807127156992² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130807127156992.

It is not an unprimeable number, because it can be changed into a prime (130807127156999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247682203 + ... + 248209765.

It is an arithmetic number, because the mean of its divisors is an integer number (1430688677628).

Almost surely, 2^{130807127156992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130807127156992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154514377183824).

130807127156992 is an abundant number, since it is smaller than the sum of its proper divisors (178221627210656).

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

130807127156992 is a wasteful number, since it uses less digits than its factorization.

130807127156992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528137 (or 528110 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 61.

The spelling of 130807127156992 in words is "one hundred thirty trillion, eight hundred seven billion, one hundred twenty-seven million, one hundred fifty-six thousand, nine hundred ninety-two".