125771600 has 60 divisors (see below), whose sum is σ = 309576540. Its totient is φ = 49075200.

The previous prime is 125771587. The next prime is 125771647. The reversal of 125771600 is 6177521.

It can be written as a sum of positive squares in 6 ways, for example, as 2650384 + 123121216 = 1628^2 + 11096^2 .

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 11 ways as a sum of consecutive naturals, for example, 12566 + ... + 20234.

It is an arithmetic number, because the mean of its divisors is an integer number (5159609).

Almost surely, 2^125771600 is an apocalyptic number.

125771600 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 125771600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154788270).

125771600 is an abundant number, since it is smaller than the sum of its proper divisors (183804940).

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

125771600 is a wasteful number, since it uses less digits than its factorization.

125771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 125771600 is about 11214.7938010469. The cubic root of 125771600 is about 501.0266903708.

The spelling of 125771600 in words is "one hundred twenty-five million, seven hundred seventy-one thousand, six hundred".