125641000 has 32 divisors (see below), whose sum is σ = 294002280. Its totient is φ = 50256000.

The previous prime is 125640997. The next prime is 125641003. The reversal of 125641000 is 146521.

It is an interprime number because it is at equal distance from previous prime (125640997) and next prime (125641003).

It can be written as a sum of positive squares in 4 ways, for example, as 17522596 + 108118404 = 4186^2 + 10398^2 .

It is not an unprimeable number, because it can be changed into a prime (125641003) 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 7 ways as a sum of consecutive naturals, for example, 61821 + ... + 63820.

Almost surely, 2^125641000 is an apocalyptic number.

125641000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125641000 is an abundant number, since it is smaller than the sum of its proper divisors (168361280).

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

125641000 is a wasteful number, since it uses less digits than its factorization.

125641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125662 (or 125648 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 125641000 is about 11208.9696225835. The cubic root of 125641000 is about 500.8532099042.

Adding to 125641000 its reverse (146521), we get a palindrome (125787521).

The spelling of 125641000 in words is "one hundred twenty-five million, six hundred forty-one thousand".