129375828 has 144 divisors (see below), whose sum is σ = 362509056. Its totient is φ = 38776320.

The previous prime is 129375821. The next prime is 129375839. The reversal of 129375828 is 828573921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129375821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256025 + ... + 1256127.

It is an arithmetic number, because the mean of its divisors is an integer number (2517424).

Almost surely, 2^129375828 is an apocalyptic number.

129375828 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 129375828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181254528).

129375828 is an abundant number, since it is smaller than the sum of its proper divisors (233133228).

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

129375828 is a wasteful number, since it uses less digits than its factorization.

129375828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 129375828 is about 11374.3495638212. The cubic root of 129375828 is about 505.7676499411.

It can be divided in two parts, 129375 and 828, that multiplied together give a square (107122500 = 10350²).

The spelling of 129375828 in words is "one hundred twenty-nine million, three hundred seventy-five thousand, eight hundred twenty-eight".