1098000144 has 80 divisors (see below), whose sum is σ = 3191660800. Its totient is φ = 361355904.

The previous prime is 1098000143. The next prime is 1098000157. The reversal of 1098000144 is 4410008901.

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

It is not an unprimeable number, because it can be changed into a prime (1098000143) 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, 18042 + ... + 50214.

It is an arithmetic number, because the mean of its divisors is an integer number (39895760).

Almost surely, 2^1098000144 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 1098000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595830400).

1098000144 is an abundant number, since it is smaller than the sum of its proper divisors (2093660656).

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

1098000144 is a wasteful number, since it uses less digits than its factorization.

1098000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32269 (or 32257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1098000144 is about 33136.0852244196. The cubic root of 1098000144 is about 1031.6541566939.

The spelling of 1098000144 in words is "one billion, ninety-eight million, one hundred forty-four", and thus it is an aban number.