125874000 has 480 divisors, whose sum is σ = 535132416. Its totient is φ = 27993600.

The previous prime is 125873989. The next prime is 125874109. The reversal of 125874000 is 478521.

125874000 is a `hidden beast` number, since 1 + 258 + 7 + 400 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3401982 + ... + 3402018.

Almost surely, 2^125874000 is an apocalyptic number.

125874000 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 125874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267566208).

125874000 is an abundant number, since it is smaller than the sum of its proper divisors (409258416).

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

125874000 is an equidigital number, since it uses as much as digits as its factorization.

125874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 125874000 is about 11219.3582704181. The cubic root of 125874000 is about 501.1626278310.

The spelling of 125874000 in words is "one hundred twenty-five million, eight hundred seventy-four thousand".