125785800 has 288 divisors, whose sum is σ = 493272000. Its totient is φ = 28131840.

The previous prime is 125785787. The next prime is 125785811. The reversal of 125785800 is 8587521.

125785800 is a `hidden beast` number, since 1 + 2 + 5 + 78 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 844126 + ... + 844274.

It is an arithmetic number, because the mean of its divisors is an integer number (1712750).

Almost surely, 2^125785800 is an apocalyptic number.

125785800 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 125785800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246636000).

125785800 is an abundant number, since it is smaller than the sum of its proper divisors (367486200).

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

125785800 is a wasteful number, since it uses less digits than its factorization.

125785800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 125785800 is about 11215.4268755139. The cubic root of 125785800 is about 501.0455454787.

The spelling of 125785800 in words is "one hundred twenty-five million, seven hundred eighty-five thousand, eight hundred".