1800116136 has 400 divisors, whose sum is σ = 6405606900. Its totient is φ = 469421568.

The previous prime is 1800116083. The next prime is 1800116141. The reversal of 1800116136 is 6316110081.

It can be written as a sum of positive squares in 2 ways, for example, as 1575296100 + 224820036 = 39690^2 + 14994^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 20225980 + ... + 20226068.

Almost surely, 2^1800116136 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 1800116136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202803450).

1800116136 is an abundant number, since it is smaller than the sum of its proper divisors (4605490764).

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

1800116136 is an equidigital number, since it uses as much as digits as its factorization.

1800116136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1800116136 is about 42427.7755250025. The cubic root of 1800116136 is about 1216.4665601302.

The spelling of 1800116136 in words is "one billion, eight hundred million, one hundred sixteen thousand, one hundred thirty-six".