129247633152 has 432 divisors, whose sum is σ = 443820424320. Its totient is φ = 37100851200.

The previous prime is 129247633139. The next prime is 129247633181. The reversal of 129247633152 is 251336742921.

It is a happy number.

129247633152 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 4 + 7 + 633 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 129247633098 and 129247633107.

It is a congruent number.

It is an unprimeable number.

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, 12996502 + ... + 13006442.

Almost surely, 2^129247633152 is an apocalyptic number.

129247633152 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 129247633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221910212160).

129247633152 is an abundant number, since it is smaller than the sum of its proper divisors (314572791168).

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

129247633152 is an equidigital number, since it uses as much as digits as its factorization.

129247633152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002 (or 9976 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 129247633152 in words is "one hundred twenty-nine billion, two hundred forty-seven million, six hundred thirty-three thousand, one hundred fifty-two".