125837952 has 64 divisors (see below), whose sum is σ = 342075360. Its totient is φ = 40965120.

The previous prime is 125837947. The next prime is 125837963. The reversal of 125837952 is 259738521.

It is a happy number.

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

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 7 ways as a sum of consecutive naturals, for example, 12702 + ... + 20322.

Almost surely, 2^125837952 is an apocalyptic number.

125837952 is a gapful number since it is divisible by the number (12) 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 125837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171037680).

125837952 is an abundant number, since it is smaller than the sum of its proper divisors (216237408).

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

125837952 is an equidigital number, since it uses as much as digits as its factorization.

125837952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681 (or 7669 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 125837952 is about 11217.7516463862. The cubic root of 125837952 is about 501.1147820083.

The spelling of 125837952 in words is "one hundred twenty-five million, eight hundred thirty-seven thousand, nine hundred fifty-two".