1800135168 has 160 divisors (see below), whose sum is σ = 5469399936. Its totient is φ = 521207808.

The previous prime is 1800135167. The next prime is 1800135229. The reversal of 1800135168 is 8615310081.

It is not an unprimeable number, because it can be changed into a prime (1800135167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336805 + ... + 342107.

Almost surely, 2^1800135168 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 1800135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734699968).

1800135168 is an abundant number, since it is smaller than the sum of its proper divisors (3669264768).

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

1800135168 is a wasteful number, since it uses less digits than its factorization.

1800135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1800135168 is about 42427.9998114453. Note that the first 3 decimals coincide. The cubic root of 1800135168 is about 1216.4708472073.

The spelling of 1800135168 in words is "one billion, eight hundred million, one hundred thirty-five thousand, one hundred sixty-eight".