129560031413136 has 675 divisors, whose sum is σ = 406835541142251. Its totient is φ = 39962212871616.

The previous prime is 129560031413077. The next prime is 129560031413171. The reversal of 129560031413136 is 631314130065921.

The square root of 129560031413136 is 11382444.

It is a perfect power (a square), and thus also a powerful number.

129560031413136 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 600 + 3 + 1 + 4 + 1 + 3 + 1 + 36 = 666.

It is a super-2 number, since 2×129560031413136² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129560031413091 and 129560031413100.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 3013023986331 + ... + 3013023986373.

Almost surely, 2^{129560031413136} is an apocalyptic number.

129560031413136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

129560031413136 is the 11382444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129560031413136

129560031413136 is an abundant number, since it is smaller than the sum of its proper divisors (277275509729115).

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

129560031413136 is an frugal number, since it uses more digits than its factorization.

129560031413136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 129560031413136 in words is "one hundred twenty-nine trillion, five hundred sixty billion, thirty-one million, four hundred thirteen thousand, one hundred thirty-six".