125676000 has 144 divisors (see below), whose sum is σ = 446151888. Its totient is φ = 33504000.

The previous prime is 125675989. The next prime is 125676037. The reversal of 125676000 is 676521.

125676000 is a `hidden beast` number, since 1 + 2 + 56 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34255 + ... + 37745.

It is an arithmetic number, because the mean of its divisors is an integer number (3098277).

Almost surely, 2^125676000 is an apocalyptic number.

125676000 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 125676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223075944).

125676000 is an abundant number, since it is smaller than the sum of its proper divisors (320475888).

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

125676000 is a wasteful number, since it uses less digits than its factorization.

125676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 125676000 is about 11210.5307635277. The cubic root of 125676000 is about 500.8997133939.

The spelling of 125676000 in words is "one hundred twenty-five million, six hundred seventy-six thousand".