146586134560 has 24 divisors (see below), whose sum is σ = 346309743276. Its totient is φ = 58634453760.

The previous prime is 146586134551. The next prime is 146586134599. The reversal of 146586134560 is 65431685641.

It can be written as a sum of positive squares in 2 ways, for example, as 143274362256 + 3311772304 = 378516^2 + 57548^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458081511 + ... + 458081830.

Almost surely, 2^146586134560 is an apocalyptic number.

146586134560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146586134560 is an abundant number, since it is smaller than the sum of its proper divisors (199723608716).

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

146586134560 is an equidigital number, since it uses as much as digits as its factorization.

146586134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916163356 (or 916163348 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 146586134560 in words is "one hundred forty-six billion, five hundred eighty-six million, one hundred thirty-four thousand, five hundred sixty".