125685000 has 480 divisors, whose sum is σ = 534204000. Its totient is φ = 27216000.

The previous prime is 125684989. The next prime is 125685011. The reversal of 125685000 is 586521.

It is an interprime number because it is at equal distance from previous prime (125684989) and next prime (125685011).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6614991 + ... + 6615009.

It is an arithmetic number, because the mean of its divisors is an integer number (1112925).

Almost surely, 2^125685000 is an apocalyptic number.

125685000 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 125685000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267102000).

125685000 is an abundant number, since it is smaller than the sum of its proper divisors (408519000).

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

125685000 is a wasteful number, since it uses less digits than its factorization.

125685000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 125685000 is about 11210.9321646329. The cubic root of 125685000 is about 500.9116700385.

The spelling of 125685000 in words is "one hundred twenty-five million, six hundred eighty-five thousand".