125905536 has 128 divisors (see below), whose sum is σ = 393638400. Its totient is φ = 39481344.

The previous prime is 125905531. The next prime is 125905543. The reversal of 125905536 is 635509521.

125905536 is a `hidden beast` number, since 12 + 5 + 90 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 125905536.

It is not an unprimeable number, because it can be changed into a prime (125905531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57681 + ... + 59823.

It is an arithmetic number, because the mean of its divisors is an integer number (3075300).

Almost surely, 2^125905536 is an apocalyptic number.

125905536 is a gapful number since it is divisible by the number (16) 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 125905536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196819200).

125905536 is an abundant number, since it is smaller than the sum of its proper divisors (267732864).

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

125905536 is a wasteful number, since it uses less digits than its factorization.

125905536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 125905536 is about 11220.7636103788. The cubic root of 125905536 is about 501.2044774715.

The spelling of 125905536 in words is "one hundred twenty-five million, nine hundred five thousand, five hundred thirty-six".