125284005 has 144 divisors (see below), whose sum is σ = 288812160. Its totient is φ = 49040640.

The previous prime is 125283971. The next prime is 125284087. The reversal of 125284005 is 500482521.

It is a happy number.

125284005 is a `hidden beast` number, since 1 + 252 + 8 + 400 + 5 = 666.

It is not a de Polignac number, because 125284005 - 2⁸ = 125283749 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 125284005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 724099 + ... + 724271.

It is an arithmetic number, because the mean of its divisors is an integer number (2005640).

Almost surely, 2^125284005 is an apocalyptic number.

125284005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125284005 is an abundant number, since it is smaller than the sum of its proper divisors (163528155).

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

125284005 is a wasteful number, since it uses less digits than its factorization.

125284005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 125284005 is about 11193.0337710560. The cubic root of 125284005 is about 500.3783869078.

The spelling of 125284005 in words is "one hundred twenty-five million, two hundred eighty-four thousand, five".