125725000 has 96 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 48760000.

The previous prime is 125724971. The next prime is 125725003. The reversal of 125725000 is 527521.

It is not an unprimeable number, because it can be changed into a prime (125725003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1174947 + ... + 1175053.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2^125725000 is an apocalyptic number.

125725000 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 125725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

125725000 is an abundant number, since it is smaller than the sum of its proper divisors (178005560).

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

125725000 is an equidigital number, since it uses as much as digits as its factorization.

125725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 125725000 is about 11212.7159956899. The cubic root of 125725000 is about 500.9648037766.

The spelling of 125725000 in words is "one hundred twenty-five million, seven hundred twenty-five thousand".