125594560 has 224 divisors, whose sum is σ = 389168640. Its totient is φ = 37490688.

The previous prime is 125594549. The next prime is 125594591. The reversal of 125594560 is 65495521.

125594560 = T₁₄ + T₁₅ + ... + T₉₀₉.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553167 + ... + 553393.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^125594560 is an apocalyptic number.

125594560 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 125594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

125594560 is an abundant number, since it is smaller than the sum of its proper divisors (263574080).

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

125594560 is a wasteful number, since it uses less digits than its factorization.

125594560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 125594560 is about 11206.8978758620. The cubic root of 125594560 is about 500.7914930829.

The spelling of 125594560 in words is "one hundred twenty-five million, five hundred ninety-four thousand, five hundred sixty".