1018134800 has 60 divisors (see below), whose sum is σ = 2454332496. Its totient is φ = 405878400.

The previous prime is 1018134797. The next prime is 1018134827. The reversal of 1018134800 is 84318101.

It is a self number, because there is not a number n which added to its sum of digits gives 1018134800.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 118655 + ... + 126945.

Almost surely, 2^1018134800 is an apocalyptic number.

1018134800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227166248).

1018134800 is an abundant number, since it is smaller than the sum of its proper divisors (1436197696).

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

1018134800 is a wasteful number, since it uses less digits than its factorization.

1018134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8616 (or 8605 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 1018134800 is about 31908.2246450660. The cubic root of 1018134800 is about 1006.0087558705.

The spelling of 1018134800 in words is "one billion, eighteen million, one hundred thirty-four thousand, eight hundred".