125684000 has 96 divisors (see below), whose sum is σ = 332697456. Its totient is φ = 46387200.

The previous prime is 125683997. The next prime is 125684011. The reversal of 125684000 is 486521.

It can be written as a sum of positive squares in 8 ways, for example, as 10679824 + 115004176 = 3268^2 + 10724^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50792 + ... + 53208.

Almost surely, 2^125684000 is an apocalyptic number.

125684000 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 125684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166348728).

125684000 is an abundant number, since it is smaller than the sum of its proper divisors (207013456).

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

125684000 is a wasteful number, since it uses less digits than its factorization.

125684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 125684000 is about 11210.8875652198. The cubic root of 125684000 is about 500.9103415506.

The spelling of 125684000 in words is "one hundred twenty-five million, six hundred eighty-four thousand".