125129040 has 80 divisors (see below), whose sum is σ = 396188928. Its totient is φ = 32654848.

The previous prime is 125129033. The next prime is 125129071. The reversal of 125129040 is 40921521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125129040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5734 + ... + 16826.

Almost surely, 2^125129040 is an apocalyptic number.

125129040 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 125129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198094464).

125129040 is an abundant number, since it is smaller than the sum of its proper divisors (271059888).

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

125129040 is a wasteful number, since it uses less digits than its factorization.

125129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11156 (or 11150 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 125129040 is about 11186.1092431640. The cubic root of 125129040 is about 500.1719941626.

The spelling of 125129040 in words is "one hundred twenty-five million, one hundred twenty-nine thousand, forty".