129773813509152 has 336 divisors, whose sum is σ = 403338320320320. Its totient is φ = 40969613376000.

The previous prime is 129773813509141. The next prime is 129773813509159. The reversal of 129773813509152 is 251905318377921.

129773813509152 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 73 + 8 + 1 + 3 + 509 + 1 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 129773813509152.

It is not an unprimeable number, because it can be changed into a prime (129773813509159) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1640362077 + ... + 1640441187.

It is an arithmetic number, because the mean of its divisors is an integer number (1200411667620).

Almost surely, 2^{129773813509152} is an apocalyptic number.

129773813509152 is a gapful number since it is divisible by the number (12) 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 129773813509152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201669160160160).

129773813509152 is an abundant number, since it is smaller than the sum of its proper divisors (273564506811168).

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

129773813509152 is an equidigital number, since it uses as much as digits as its factorization.

129773813509152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82859 (or 82836 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 129773813509152 in words is "one hundred twenty-nine trillion, seven hundred seventy-three billion, eight hundred thirteen million, five hundred nine thousand, one hundred fifty-two".