820000144 has 20 divisors (see below), whose sum is σ = 1589720796. Its totient is φ = 409749632.

The previous prime is 820000121. The next prime is 820000147. The reversal of 820000144 is 441000028.

It can be written as a sum of positive squares in 2 ways, for example, as 224640144 + 595360000 = 14988^2 + 24400^2 .

It is not an unprimeable number, because it can be changed into a prime (820000147) 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 3 ways as a sum of consecutive naturals, for example, 12942 + ... + 42514.

Almost surely, 2^820000144 is an apocalyptic number.

It is an amenable number.

820000144 is a deficient number, since it is larger than the sum of its proper divisors (769720652).

820000144 is a wasteful number, since it uses less digits than its factorization.

820000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31314 (or 31308 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 820000144 is about 28635.6446409017. The cubic root of 820000144 is about 935.9902171038.

The spelling of 820000144 in words is "eight hundred twenty million, one hundred forty-four", and thus it is an aban number.