125829060 has 144 divisors (see below), whose sum is σ = 414296064. Its totient is φ = 28449792.

The previous prime is 125829059. The next prime is 125829071. The reversal of 125829060 is 60928521.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373212 + ... + 373548.

It is an arithmetic number, because the mean of its divisors is an integer number (2877056).

Almost surely, 2^125829060 is an apocalyptic number.

125829060 is a gapful number since it is divisible by the number (10) 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 125829060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207148032).

125829060 is an abundant number, since it is smaller than the sum of its proper divisors (288467004).

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

125829060 is a wasteful number, since it uses less digits than its factorization.

125829060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 125829060 is about 11217.3553032789. The cubic root of 125829060 is about 501.1029784214.

The spelling of 125829060 in words is "one hundred twenty-five million, eight hundred twenty-nine thousand, sixty".