125114000 has 160 divisors (see below), whose sum is σ = 339835392. Its totient is φ = 44528000.

The previous prime is 125113979. The next prime is 125114009. The reversal of 125114000 is 411521.

It is not an unprimeable number, because it can be changed into a prime (125114009) 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 31 ways as a sum of consecutive naturals, for example, 2661977 + ... + 2662023.

Almost surely, 2^125114000 is an apocalyptic number.

125114000 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 125114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169917696).

125114000 is an abundant number, since it is smaller than the sum of its proper divisors (214721392).

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

125114000 is an equidigital number, since it uses as much as digits as its factorization.

125114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 125114000 is about 11185.4369606198. The cubic root of 125114000 is about 500.1519538154.

Adding to 125114000 its reverse (411521), we get a palindrome (125525521).

It can be divided in two parts, 1251 and 14000, that added together give a palindrome (15251).

The spelling of 125114000 in words is "one hundred twenty-five million, one hundred fourteen thousand".