125536320 has 336 divisors, whose sum is σ = 532546560. Its totient is φ = 26431488.

The previous prime is 125536309. The next prime is 125536339. The reversal of 125536320 is 23635521.

125536320 is a `hidden beast` number, since 1 + 25 + 5 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261841 + ... + 262319.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2^125536320 is an apocalyptic number.

125536320 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 125536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273280).

125536320 is an abundant number, since it is smaller than the sum of its proper divisors (407010240).

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

125536320 is a wasteful number, since it uses less digits than its factorization.

125536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 125536320 is about 11204.2991748703. The cubic root of 125536320 is about 500.7140730472.

The spelling of 125536320 in words is "one hundred twenty-five million, five hundred thirty-six thousand, three hundred twenty".