125853952 has 108 divisors (see below), whose sum is σ = 298260480. Its totient is φ = 52835328.

The previous prime is 125853883. The next prime is 125853977. The reversal of 125853952 is 259358521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 990913 + ... + 991039.

Almost surely, 2^125853952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125853952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149130240).

125853952 is an abundant number, since it is smaller than the sum of its proper divisors (172406528).

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

125853952 is an equidigital number, since it uses as much as digits as its factorization.

125853952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its digits is 108000, while the sum is 40.

The square root of 125853952 is about 11218.4647791041. The cubic root of 125853952 is about 501.1360196307.

The spelling of 125853952 in words is "one hundred twenty-five million, eight hundred fifty-three thousand, nine hundred fifty-two".