125034966 has 144 divisors (see below), whose sum is σ = 345720960. Its totient is φ = 32417280.

The previous prime is 125034941. The next prime is 125034971. The reversal of 125034966 is 669430521.

It is a happy number.

125034966 is a `hidden beast` number, since 1 + 250 + 349 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125034966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 464680 + ... + 464948.

It is an arithmetic number, because the mean of its divisors is an integer number (2400840).

Almost surely, 2^125034966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125034966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172860480).

125034966 is an abundant number, since it is smaller than the sum of its proper divisors (220685994).

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

125034966 is a wasteful number, since it uses less digits than its factorization.

125034966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 125034966 is about 11181.9035052177. The cubic root of 125034966 is about 500.0466169869.

The spelling of 125034966 in words is "one hundred twenty-five million, thirty-four thousand, nine hundred sixty-six".