125744580 has 288 divisors, whose sum is σ = 454053600. Its totient is φ = 27869184.

The previous prime is 125744579. The next prime is 125744627. The reversal of 125744580 is 85447521.

125744580 is a `hidden beast` number, since 1 + 2 + 5 + 74 + 4 + 580 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 18870336 + 106874244 = 4344^2 + 10338^2 .

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1153566 + ... + 1153674.

It is an arithmetic number, because the mean of its divisors is an integer number (1576575).

Almost surely, 2^125744580 is an apocalyptic number.

125744580 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 125744580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227026800).

125744580 is an abundant number, since it is smaller than the sum of its proper divisors (328309020).

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

125744580 is a wasteful number, since it uses less digits than its factorization.

125744580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 125744580 is about 11213.5890775434. The cubic root of 125744580 is about 500.9908086329.

The spelling of 125744580 in words is "one hundred twenty-five million, seven hundred forty-four thousand, five hundred eighty".