129338771328 has 512 divisors, whose sum is σ = 433523664000. Its totient is φ = 37679136768.

The previous prime is 129338771281. The next prime is 129338771431. The reversal of 129338771328 is 823177833921.

129338771328 is a `hidden beast` number, since 129 + 3 + 387 + 7 + 132 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69053400 + ... + 69055272.

Almost surely, 2^129338771328 is an apocalyptic number.

129338771328 is a gapful number since it is divisible by the number (18) 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 129338771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216761832000).

129338771328 is an abundant number, since it is smaller than the sum of its proper divisors (304184892672).

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

129338771328 is a wasteful number, since it uses less digits than its factorization.

129338771328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1973 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 129338771328 in words is "one hundred twenty-nine billion, three hundred thirty-eight million, seven hundred seventy-one thousand, three hundred twenty-eight".