146493312 has 64 divisors (see below), whose sum is σ = 444720000. Its totient is φ = 41854464.

The previous prime is 146493307. The next prime is 146493349. The reversal of 146493312 is 213394641.

146493312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 24562 + ... + 29937.

It is an arithmetic number, because the mean of its divisors is an integer number (6948750).

Almost surely, 2^146493312 is an apocalyptic number.

146493312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146493312 is an abundant number, since it is smaller than the sum of its proper divisors (298226688).

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

146493312 is an equidigital number, since it uses as much as digits as its factorization.

146493312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54523 (or 54511 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 146493312 is about 12103.4421550235. The cubic root of 146493312 is about 527.1561359621.

The spelling of 146493312 in words is "one hundred forty-six million, four hundred ninety-three thousand, three hundred twelve".