129833819136 has 528 divisors, whose sum is σ = 448495407360. Its totient is φ = 36747509760.

The previous prime is 129833819131. The next prime is 129833819147. The reversal of 129833819136 is 631918338921.

129833819136 is a `hidden beast` number, since 1 + 2 + 98 + 338 + 191 + 36 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129833819131) 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 47 ways as a sum of consecutive naturals, for example, 228178660 + ... + 228179228.

It is an arithmetic number, because the mean of its divisors is an integer number (849423120).

Almost surely, 2^129833819136 is an apocalyptic number.

129833819136 is a gapful number since it is divisible by the number (16) 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 129833819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224247703680).

129833819136 is an abundant number, since it is smaller than the sum of its proper divisors (318661588224).

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

129833819136 is an equidigital number, since it uses as much as digits as its factorization.

129833819136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 712 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 129833819136 in words is "one hundred twenty-nine billion, eight hundred thirty-three million, eight hundred nineteen thousand, one hundred thirty-six".