129746337890625 has 169 divisors, whose sum is σ = 243274230757741. Its totient is φ = 69198046875000.

The previous prime is 129746337890623. The next prime is 129746337890647. The reversal of 129746337890625 is 526098733647921.

It is a happy number.

The square root of 129746337890625 is 11390625.

The cubic root of 129746337890625 is 50625.

It is a perfect power (a square, a cube, a biquadrate, a 6-th power, a 12-th power), and thus also a powerful number.

129746337890625 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 463 + 3 + 78 + 90 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 73409544435969 + 56336793454656 = 8567937^2 + 7505784^2 .

It is not a de Polignac number, because 129746337890625 - 2¹ = 129746337890623 is a prime.

It is a super-2 number, since 2×129746337890625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (129746337890623) by changing a digit.

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 168 ways as a sum of consecutive naturals, for example, 25949267578123 + ... + 25949267578127.

It is a 1-persistent number, because it is pandigital, but 2⋅129746337890625 = 259492675781250 is not.

Almost surely, 2^{129746337890625} is an apocalyptic number.

129746337890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

129746337890625 is the 11390625-th square number.

129746337890625 is the 5695313-rd centered octagonal number.

It is an amenable number.

129746337890625 is a deficient number, since it is larger than the sum of its proper divisors (113527892867116).

129746337890625 is an frugal number, since it uses more digits than its factorization.

129746337890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 129746337890625 in words is "one hundred twenty-nine trillion, seven hundred forty-six billion, three hundred thirty-seven million, eight hundred ninety thousand, six hundred twenty-five".