129155042329600 has 891 divisors, whose sum is σ = 380324683352367. Its totient is φ = 43360920207360.

The previous prime is 129155042329597. The next prime is 129155042329627. The reversal of 129155042329600 is 6923240551921.

The square root of 129155042329600 is 11364640.

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

It can be written as a sum of positive squares in 4 ways, for example, as 706729411584 + 128448312918016 = 840672^2 + 11333504^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 929172966331 + ... + 929172966469.

Almost surely, 2^{129155042329600} is an apocalyptic number.

129155042329600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129155042329600 is the 11364640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129155042329600

129155042329600 is an abundant number, since it is smaller than the sum of its proper divisors (251169641022767).

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

129155042329600 is an frugal number, since it uses more digits than its factorization.

129155042329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

129155042329600 divided by its sum of digits (49) gives a square (2635817190400 = 1623520²).

The spelling of 129155042329600 in words is "one hundred twenty-nine trillion, one hundred fifty-five billion, forty-two million, three hundred twenty-nine thousand, six hundred".