146283312 has 120 divisors (see below), whose sum is σ = 452026624. Its totient is φ = 39929472.

The previous prime is 146283301. The next prime is 146283329. The reversal of 146283312 is 213382641.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 146283312.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 177333 + ... + 178155.

Almost surely, 2^146283312 is an apocalyptic number.

146283312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146283312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226013312).

146283312 is an abundant number, since it is smaller than the sum of its proper divisors (305743312).

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

146283312 is a wasteful number, since it uses less digits than its factorization.

146283312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 858 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 146283312 is about 12094.7638257223. The cubic root of 146283312 is about 526.9041205239.

The spelling of 146283312 in words is "one hundred forty-six million, two hundred eighty-three thousand, three hundred twelve".