125853504 has 112 divisors (see below), whose sum is σ = 393801600. Its totient is φ = 34707456.

The previous prime is 125853503. The next prime is 125853547. The reversal of 125853504 is 405358521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125853503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37362 + ... + 40590.

Almost surely, 2^125853504 is an apocalyptic number.

125853504 is a gapful number since it is divisible by the number (14) 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 125853504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196900800).

125853504 is an abundant number, since it is smaller than the sum of its proper divisors (267948096).

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

125853504 is a wasteful number, since it uses less digits than its factorization.

125853504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 125853504 is about 11218.4448120049. Note that the first 3 decimals coincide. The cubic root of 125853504 is about 501.1354250018.

The spelling of 125853504 in words is "one hundred twenty-five million, eight hundred fifty-three thousand, five hundred four".