125031000 has 128 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 32816000.

The previous prime is 125030993. The next prime is 125031007. The reversal of 125031000 is 130521.

It is an interprime number because it is at equal distance from previous prime (125030993) and next prime (125031007).

It is a super-2 number, since 2×125031000² = 31265501922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125031007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212707 + ... + 213293.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^125031000 is an apocalyptic number.

125031000 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 125031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

125031000 is an abundant number, since it is smaller than the sum of its proper divisors (271233960).

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

125031000 is a wasteful number, since it uses less digits than its factorization.

125031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 125031000 is about 11181.7261637012. The cubic root of 125031000 is about 500.0413299169.

Adding to 125031000 its reverse (130521), we get a palindrome (125161521).

The spelling of 125031000 in words is "one hundred twenty-five million, thirty-one thousand".