129159734544 has 225 divisors, whose sum is σ = 382052504757. Its totient is φ = 42126023808.

The previous prime is 129159734533. The next prime is 129159734563. The reversal of 129159734544 is 445437951921.

The square root of 129159734544 is 359388.

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

129159734544 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 5 + 97 + 3 + 4 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15131952144 + 114027782400 = 123012^2 + 337680^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 866843782 + ... + 866843930.

Almost surely, 2^129159734544 is an apocalyptic number.

129159734544 is the 359388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129159734544

129159734544 is an abundant number, since it is smaller than the sum of its proper divisors (252892770213).

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

129159734544 is an frugal number, since it uses more digits than its factorization.

129159734544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 221 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 129159734544 in words is "one hundred twenty-nine billion, one hundred fifty-nine million, seven hundred thirty-four thousand, five hundred forty-four".