129826125 has 128 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 57888000.

The previous prime is 129826091. The next prime is 129826133. The reversal of 129826125 is 521628921.

129826125 = 148³ + 149³ + ... + 177³.

It is a de Polignac number, because none of the positive numbers 2^k-129826125 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 129826125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482491 + ... + 482759.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^129826125 is an apocalyptic number.

129826125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129826125 is an abundant number, since it is smaller than the sum of its proper divisors (153220275).

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

129826125 is a wasteful number, since it uses less digits than its factorization.

129826125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 129826125 is about 11394.1267765459. The cubic root of 129826125 is about 506.3537510266.

The spelling of 129826125 in words is "one hundred twenty-nine million, eight hundred twenty-six thousand, one hundred twenty-five".