129338205750 has 768 divisors, whose sum is σ = 427422707712. Its totient is φ = 27888537600.

The previous prime is 129338205691. The next prime is 129338205769. The reversal of 129338205750 is 57502833921.

129338205750 is a `hidden beast` number, since 1 + 29 + 3 + 38 + 20 + 575 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 129338205696 and 129338205705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 491780119 + ... + 491780381.

It is an arithmetic number, because the mean of its divisors is an integer number (556539984).

Almost surely, 2^129338205750 is an apocalyptic number.

129338205750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129338205750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213711353856).

129338205750 is an abundant number, since it is smaller than the sum of its proper divisors (298084501962).

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

129338205750 is a wasteful number, since it uses less digits than its factorization.

129338205750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 129338205750 in words is "one hundred twenty-nine billion, three hundred thirty-eight million, two hundred five thousand, seven hundred fifty".