125188000 has 192 divisors, whose sum is σ = 373621248. Its totient is φ = 40243200.

The previous prime is 125187991. The next prime is 125188001. The reversal of 125188000 is 881521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125188001) 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, 475869 + ... + 476131.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^125188000 is an apocalyptic number.

125188000 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 125188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

125188000 is an abundant number, since it is smaller than the sum of its proper divisors (248433248).

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

125188000 is a wasteful number, since it uses less digits than its factorization.

125188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 125188000 is about 11188.7443442059. The cubic root of 125188000 is about 500.2505411040.

The spelling of 125188000 in words is "one hundred twenty-five million, one hundred eighty-eight thousand".