125907642 has 128 divisors (see below), whose sum is σ = 344678400. Its totient is φ = 33265728.

The previous prime is 125907629. The next prime is 125907643. The reversal of 125907642 is 246709521.

125907642 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 0 + 7 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125907597 and 125907606.

It is not an unprimeable number, because it can be changed into a prime (125907643) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 337368 + ... + 337740.

It is an arithmetic number, because the mean of its divisors is an integer number (2692800).

Almost surely, 2^125907642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125907642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172339200).

125907642 is an abundant number, since it is smaller than the sum of its proper divisors (218770758).

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

125907642 is a wasteful number, since it uses less digits than its factorization.

125907642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 125907642 is about 11220.8574538669. The cubic root of 125907642 is about 501.2072719759.

The spelling of 125907642 in words is "one hundred twenty-five million, nine hundred seven thousand, six hundred forty-two".