129975982734600 has 288 divisors, whose sum is σ = 451169489971200. Its totient is φ = 33498560102400.

The previous prime is 129975982734593. The next prime is 129975982734601. The reversal of 129975982734600 is 6437289579921.

129975982734600 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 7 + 5 + 9 + 8 + 2 + 7 + 3 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (129975982734601) 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 71 ways as a sum of consecutive naturals, for example, 41395689 + ... + 44424711.

It is a 1-persistent number, because it is pandigital, but 2⋅129975982734600 = 259951965469200 is not.

Almost surely, 2^{129975982734600} is an apocalyptic number.

129975982734600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129975982734600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225584744985600).

129975982734600 is an abundant number, since it is smaller than the sum of its proper divisors (321193507236600).

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

129975982734600 is a wasteful number, since it uses less digits than its factorization.

129975982734600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029845 (or 3029833 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 129975982734600 in words is "one hundred twenty-nine trillion, nine hundred seventy-five billion, nine hundred eighty-two million, seven hundred thirty-four thousand, six hundred".