125005920 has 288 divisors, whose sum is σ = 451567872. Its totient is φ = 28993536.

The previous prime is 125005889. The next prime is 125005927. The reversal of 125005920 is 29500521.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125005927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1865727 + ... + 1865793.

It is an arithmetic number, because the mean of its divisors is an integer number (1567944).

Almost surely, 2^125005920 is an apocalyptic number.

125005920 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 125005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225783936).

125005920 is an abundant number, since it is smaller than the sum of its proper divisors (326561952).

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

125005920 is a wasteful number, since it uses less digits than its factorization.

125005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 125005920 is about 11180.6046348129. The cubic root of 125005920 is about 500.0078932087.

The spelling of 125005920 in words is "one hundred twenty-five million, five thousand, nine hundred twenty".