125538642 has 24 divisors (see below), whose sum is σ = 288001116. Its totient is φ = 39384576.

The previous prime is 125538641. The next prime is 125538653. The reversal of 125538642 is 246835521.

125538642 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 3 + 8 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99620361 + 25918281 = 9981^2 + 5091^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125538597 and 125538606.

It is not an unprimeable number, because it can be changed into a prime (125538641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204823 + ... + 205434.

Almost surely, 2^125538642 is an apocalyptic number.

125538642 is an abundant number, since it is smaller than the sum of its proper divisors (162462474).

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

125538642 is a wasteful number, since it uses less digits than its factorization.

125538642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410282 (or 410279 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 125538642 is about 11204.4027953301. The cubic root of 125538642 is about 500.7171602040.

The spelling of 125538642 in words is "one hundred twenty-five million, five hundred thirty-eight thousand, six hundred forty-two".