906136133968 has 240 divisors, whose sum is σ = 2092961220480. Its totient is φ = 378104702976.

The previous prime is 906136133963. The next prime is 906136133983. The reversal of 906136133968 is 869331631609.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906136133963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894507030 + ... + 894508042.

It is an arithmetic number, because the mean of its divisors is an integer number (8720671752).

Almost surely, 2^906136133968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906136133968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046480610240).

906136133968 is an abundant number, since it is smaller than the sum of its proper divisors (1186825086512).

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

906136133968 is a wasteful number, since it uses less digits than its factorization.

906136133968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The spelling of 906136133968 in words is "nine hundred six billion, one hundred thirty-six million, one hundred thirty-three thousand, nine hundred sixty-eight".