146589473 has 8 divisors (see below), whose sum is σ = 150935400. Its totient is φ = 142280320.

The previous prime is 146589463. The next prime is 146589493. The reversal of 146589473 is 374985641.

It can be written as a sum of positive squares in 4 ways, for example, as 14615329 + 131974144 = 3823^2 + 11488^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146589473 - 2⁶ = 146589409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146589463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 998 + ... + 17151.

It is an arithmetic number, because the mean of its divisors is an integer number (18866925).

Almost surely, 2^146589473 is an apocalyptic number.

It is an amenable number.

146589473 is a deficient number, since it is larger than the sum of its proper divisors (4345927).

146589473 is a wasteful number, since it uses less digits than its factorization.

146589473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18387.

The product of its digits is 725760, while the sum is 47.

The square root of 146589473 is about 12107.4139683088. The cubic root of 146589473 is about 527.2714558422.

The spelling of 146589473 in words is "one hundred forty-six million, five hundred eighty-nine thousand, four hundred seventy-three".