125256000 has 224 divisors, whose sum is σ = 439350912. Its totient is φ = 31334400.

The previous prime is 125255957. The next prime is 125256007. The reversal of 125256000 is 652521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125256007) 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, 407847 + ... + 408153.

It is an arithmetic number, because the mean of its divisors is an integer number (1961388).

Almost surely, 2^125256000 is an apocalyptic number.

125256000 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 125256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219675456).

125256000 is an abundant number, since it is smaller than the sum of its proper divisors (314094912).

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

125256000 is a wasteful number, since it uses less digits than its factorization.

125256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 125256000 is about 11191.7826998204. The cubic root of 125256000 is about 500.3411005812.

The spelling of 125256000 in words is "one hundred twenty-five million, two hundred fifty-six thousand".