125901952 has 64 divisors (see below), whose sum is σ = 276256800. Its totient is φ = 57150720.

The previous prime is 125901917. The next prime is 125901959. The reversal of 125901952 is 259109521.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (125901959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169999 + ... + 170737.

Almost surely, 2^125901952 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 125901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138128400).

125901952 is an abundant number, since it is smaller than the sum of its proper divisors (150354848).

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

125901952 is an frugal number, since it uses more digits than its factorization.

125901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

The square root of 125901952 is about 11220.6039053163. The cubic root of 125901952 is about 501.1997217000.

The spelling of 125901952 in words is "one hundred twenty-five million, nine hundred one thousand, nine hundred fifty-two".