40186125 has 108 divisors (see below), whose sum is σ = 87506172. Its totient is φ = 18370800.

The previous prime is 40186103. The next prime is 40186169. The reversal of 40186125 is 52168104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40186125 is a `hidden beast` number, since 40 + 1 + 8 + 612 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1285956 + 38900169 = 1134^2 + 6237^2 .

It is not a de Polignac number, because 40186125 - 2⁶ = 40186061 is a prime.

It is a super-2 number, since 2×40186125² = 3229849285031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5740872 + ... + 5740878.

Almost surely, 2^40186125 is an apocalyptic number.

40186125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40186125 is an abundant number, since it is smaller than the sum of its proper divisors (47320047).

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

40186125 is an frugal number, since it uses more digits than its factorization.

40186125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 40186125 is about 6339.2527162119. The cubic root of 40186125 is about 342.5248174959.

The spelling of 40186125 in words is "forty million, one hundred eighty-six thousand, one hundred twenty-five".