906005142 has 32 divisors (see below), whose sum is σ = 2300966400. Its totient is φ = 258858504.

The previous prime is 906005131. The next prime is 906005147. The reversal of 906005142 is 241500609.

906005142 is a `hidden beast` number, since 9 + 0 + 600 + 51 + 4 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906005147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1198042 + ... + 1198797.

It is an arithmetic number, because the mean of its divisors is an integer number (71905200).

Almost surely, 2^906005142 is an apocalyptic number.

906005142 is an abundant number, since it is smaller than the sum of its proper divisors (1394961258).

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

906005142 is a wasteful number, since it uses less digits than its factorization.

906005142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396857 (or 2396851 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 906005142 is about 30099.9193022174. The cubic root of 906005142 is about 967.6319968937.

The spelling of 906005142 in words is "nine hundred six million, five thousand, one hundred forty-two".