146310912 has 216 divisors, whose sum is σ = 482122368. Its totient is φ = 42240000.

The previous prime is 146310881. The next prime is 146310929. The reversal of 146310912 is 219013641.

146310912 is a `hidden beast` number, since 14 + 631 + 0 + 9 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582787 + ... + 583037.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^146310912 is an apocalyptic number.

146310912 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 146310912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241061184).

146310912 is an abundant number, since it is smaller than the sum of its proper divisors (335811456).

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

146310912 is a wasteful number, since it uses less digits than its factorization.

146310912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 146310912 is about 12095.9047615298. The cubic root of 146310912 is about 526.9372563137.

The spelling of 146310912 in words is "one hundred forty-six million, three hundred ten thousand, nine hundred twelve".