905033142 has 64 divisors (see below), whose sum is σ = 2169720000. Its totient is φ = 277979904.

The previous prime is 905033111. The next prime is 905033153. The reversal of 905033142 is 241330509.

905033142 is a `hidden beast` number, since 90 + 503 + 31 + 42 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735784 + ... + 737012.

It is an arithmetic number, because the mean of its divisors is an integer number (33901875).

Almost surely, 2^905033142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905033142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084860000).

905033142 is an abundant number, since it is smaller than the sum of its proper divisors (1264686858).

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

905033142 is a wasteful number, since it uses less digits than its factorization.

905033142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 905033142 is about 30083.7687466182. The cubic root of 905033142 is about 967.2858344539.

The spelling of 905033142 in words is "nine hundred five million, thirty-three thousand, one hundred forty-two".