125994342096 has 540 divisors, whose sum is σ = 449178517476. Its totient is φ = 32757903360.

The previous prime is 125994342041. The next prime is 125994342107. The reversal of 125994342096 is 690243499521.

125994342096 is a `hidden beast` number, since 1 + 2 + 5 + 99 + 43 + 420 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114595790400 + 11398551696 = 338520^2 + 106764^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 115273326 + ... + 115274418.

Almost surely, 2^125994342096 is an apocalyptic number.

125994342096 is a gapful number since it is divisible by the number (16) 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 125994342096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224589258738).

125994342096 is an abundant number, since it is smaller than the sum of its proper divisors (323184175380).

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

125994342096 is a wasteful number, since it uses less digits than its factorization.

125994342096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 125994342096 in words is "one hundred twenty-five billion, nine hundred ninety-four million, three hundred forty-two thousand, ninety-six".