125096608 has 216 divisors, whose sum is σ = 344779092. Its totient is φ = 44126208.

The previous prime is 125096599. The next prime is 125096611. The reversal of 125096608 is 806690521.

It can be written as a sum of positive squares in 2 ways, for example, as 124813584 + 283024 = 11172^2 + 532^2 .

It is a super-2 number, since 2×125096608² = 31298322666211328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6584023 + ... + 6584041.

Almost surely, 2^125096608 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 125096608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172389546).

125096608 is an abundant number, since it is smaller than the sum of its proper divisors (219682484).

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

125096608 is a wasteful number, since it uses less digits than its factorization.

125096608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 125096608 is about 11184.6594941464. The cubic root of 125096608 is about 500.1287774965.

The spelling of 125096608 in words is "one hundred twenty-five million, ninety-six thousand, six hundred eight".