129375443808 has 768 divisors, whose sum is σ = 455399884800. Its totient is φ = 35327508480.

The previous prime is 129375443807. The next prime is 129375443809. The reversal of 129375443808 is 808344573921.

It is a happy number.

129375443808 is a `hidden beast` number, since 1 + 2 + 93 + 7 + 544 + 3 + 8 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (129375443807) and next prime (129375443809).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129375443807) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 390862203 + ... + 390862533.

It is an arithmetic number, because the mean of its divisors is an integer number (592968600).

Almost surely, 2^129375443808 is an apocalyptic number.

129375443808 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 129375443808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227699942400).

129375443808 is an abundant number, since it is smaller than the sum of its proper divisors (326024440992).

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

129375443808 is a wasteful number, since it uses less digits than its factorization.

129375443808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 129375443808 in words is "one hundred twenty-nine billion, three hundred seventy-five million, four hundred forty-three thousand, eight hundred eight".