1819530144 has 144 divisors (see below), whose sum is σ = 5331965184. Its totient is φ = 588211200.

The previous prime is 1819530127. The next prime is 1819530149. The reversal of 1819530144 is 4410359181.

1819530144 is a `hidden beast` number, since 1 + 81 + 9 + 530 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1819530099 and 1819530108.

It is not an unprimeable number, because it can be changed into a prime (1819530149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2632839 + ... + 2633529.

It is an arithmetic number, because the mean of its divisors is an integer number (37027536).

Almost surely, 2^1819530144 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 1819530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665982592).

1819530144 is an abundant number, since it is smaller than the sum of its proper divisors (3512435040).

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

1819530144 is a wasteful number, since it uses less digits than its factorization.

1819530144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1819530144 is about 42655.9508626874. The cubic root of 1819530144 is about 1220.8240746077.

The spelling of 1819530144 in words is "one billion, eight hundred nineteen million, five hundred thirty thousand, one hundred forty-four".