146253312 has 120 divisors (see below), whose sum is σ = 447165576. Its totient is φ = 45858816.

The previous prime is 146253311. The next prime is 146253323. The reversal of 146253312 is 213352641.

146253312 is a `hidden beast` number, since 1 + 4 + 625 + 3 + 31 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146253311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 77403 + ... + 79269.

Almost surely, 2^146253312 is an apocalyptic number.

146253312 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 146253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223582788).

146253312 is an abundant number, since it is smaller than the sum of its proper divisors (300912264).

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

146253312 is a wasteful number, since it uses less digits than its factorization.

146253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1889 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 146253312 is about 12093.5235560196. The cubic root of 146253312 is about 526.8680986334.

The spelling of 146253312 in words is "one hundred forty-six million, two hundred fifty-three thousand, three hundred twelve".