125066634 has 64 divisors (see below), whose sum is σ = 313915392. Its totient is φ = 32270400.

The previous prime is 125066633. The next prime is 125066657. The reversal of 125066634 is 436660521.

125066634 = T₂₂₀ + T₂₂₁ + ... + T₉₁₂.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 125066595 and 125066604.

It is not an unprimeable number, because it can be changed into a prime (125066633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76344 + ... + 77964.

It is an arithmetic number, because the mean of its divisors is an integer number (4904928).

Almost surely, 2^125066634 is an apocalyptic number.

125066634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125066634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156957696).

125066634 is an abundant number, since it is smaller than the sum of its proper divisors (188848758).

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

125066634 is a wasteful number, since it uses less digits than its factorization.

125066634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 125066634 is about 11183.3194535433. The cubic root of 125066634 is about 500.0888295510.

The spelling of 125066634 in words is "one hundred twenty-five million, sixty-six thousand, six hundred thirty-four".