125681985 has 48 divisors (see below), whose sum is σ = 255947328. Its totient is φ = 56246400.

The previous prime is 125681929. The next prime is 125681987. The reversal of 125681985 is 589186521.

It is a happy number.

125681985 is a `hidden beast` number, since 1 + 2 + 568 + 1 + 9 + 85 = 666.

It is not a de Polignac number, because 125681985 - 2¹¹ = 125679937 is a prime.

It is a super-3 number, since 3×125681985³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 125681985.

It is not an unprimeable number, because it can be changed into a prime (125681987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3331 + ... + 16200.

It is an arithmetic number, because the mean of its divisors is an integer number (5332236).

Almost surely, 2^125681985 is an apocalyptic number.

125681985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125681985 is an abundant number, since it is smaller than the sum of its proper divisors (130265343).

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

125681985 is a wasteful number, since it uses less digits than its factorization.

125681985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19566 (or 19563 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 125681985 is about 11210.7976968635. The cubic root of 125681985 is about 500.9076646261.

The spelling of 125681985 in words is "one hundred twenty-five million, six hundred eighty-one thousand, nine hundred eighty-five".