125908992 has 288 divisors, whose sum is σ = 429287040. Its totient is φ = 36495360.

The previous prime is 125908963. The next prime is 125908997. The reversal of 125908992 is 299809521.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125908997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5474293 + ... + 5474315.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^125908992 is an apocalyptic number.

125908992 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 125908992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

125908992 is an abundant number, since it is smaller than the sum of its proper divisors (303378048).

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

125908992 is an equidigital number, since it uses as much as digits as its factorization.

125908992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 125908992 is about 11220.9176095362. The cubic root of 125908992 is about 501.2090633086.

The spelling of 125908992 in words is "one hundred twenty-five million, nine hundred eight thousand, nine hundred ninety-two".