125488000 has 256 divisors, whose sum is σ = 366612480. Its totient is φ = 42240000.

The previous prime is 125487997. The next prime is 125488001. The reversal of 125488000 is 884521.

It is a self number, because there is not a number n which added to its sum of digits gives 125488000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125488001) 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, 4047985 + ... + 4048015.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2^125488000 is an apocalyptic number.

125488000 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 125488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183306240).

125488000 is an abundant number, since it is smaller than the sum of its proper divisors (241124480).

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

125488000 is a wasteful number, since it uses less digits than its factorization.

125488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 125488000 is about 11202.1426521894. The cubic root of 125488000 is about 500.6498217642.

The spelling of 125488000 in words is "one hundred twenty-five million, four hundred eighty-eight thousand".