125616645 has 72 divisors (see below), whose sum is σ = 276363360. Its totient is φ = 52194240.

The previous prime is 125616643. The next prime is 125616691. The reversal of 125616645 is 546616521.

125616645 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 1 + 6 + 645 = 666.

It is not a de Polignac number, because 125616645 - 2¹ = 125616643 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125616641) 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 71 ways as a sum of consecutive naturals, for example, 21666 + ... + 26844.

It is an arithmetic number, because the mean of its divisors is an integer number (3838380).

Almost surely, 2^125616645 is an apocalyptic number.

125616645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125616645 is an abundant number, since it is smaller than the sum of its proper divisors (150746715).

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

125616645 is a wasteful number, since it uses less digits than its factorization.

125616645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5205 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 125616645 is about 11207.8831632026. The cubic root of 125616645 is about 500.8208450228.

The spelling of 125616645 in words is "one hundred twenty-five million, six hundred sixteen thousand, six hundred forty-five".