125000 has 28 divisors (see below), whose sum is σ = 292965. Its totient is φ = 50000.

The previous prime is 124991. The next prime is 125003. The reversal of 125000 is 521.

The cubic root of 125000 is 50.

It is a perfect power (a cube), and thus also a powerful number.

125000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 21316 + 103684 = 146^2 + 322^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=250.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (125003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 24998 + ... + 25002.

125000 is a Friedman number, since it can be written as 50^(2+1+0+0), using all its digits and the basic arithmetic operations.

2¹²⁵⁰⁰⁰ is an apocalyptic number.

125000 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 125000

125000 is an abundant number, since it is smaller than the sum of its proper divisors (167965).

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

125000 is an frugal number, since it uses more digits than its factorization.

125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 125000 is about 353.5533905933.

Adding to 125000 its reverse (521), we get a palindrome (125521).

The spelling of 125000 in words is "one hundred twenty-five thousand".