820120146 has 16 divisors (see below), whose sum is σ = 1641073824. Its totient is φ = 273234464.

The previous prime is 820120139. The next prime is 820120151. The reversal of 820120146 is 641021028.

It is a super-2 number, since 2×820120146² = 1345194107750122632, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21555 + ... + 45878.

It is an arithmetic number, because the mean of its divisors is an integer number (102567114).

Almost surely, 2^820120146 is an apocalyptic number.

820120146 is an abundant number, since it is smaller than the sum of its proper divisors (820953678).

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

820120146 is a wasteful number, since it uses less digits than its factorization.

820120146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69465.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 820120146 is about 28637.7398898726. The cubic root of 820120146 is about 936.0358736890.

The spelling of 820120146 in words is "eight hundred twenty million, one hundred twenty thousand, one hundred forty-six".