146133306 has 48 divisors (see below), whose sum is σ = 360434880. Its totient is φ = 42356160.

The previous prime is 146133301. The next prime is 146133311. The reversal of 146133306 is 603331641.

146133306 is a `hidden beast` number, since 14 + 613 + 3 + 30 + 6 = 666.

146133306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146133301) and next prime (146133311).

It is a self number, because there is not a number n which added to its sum of digits gives 146133306.

It is not an unprimeable number, because it can be changed into a prime (146133301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11491 + ... + 20598.

It is an arithmetic number, because the mean of its divisors is an integer number (7509060).

Almost surely, 2^146133306 is an apocalyptic number.

146133306 is an abundant number, since it is smaller than the sum of its proper divisors (214301574).

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

146133306 is a wasteful number, since it uses less digits than its factorization.

146133306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32131 (or 32128 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 146133306 is about 12088.5609565407. The cubic root of 146133306 is about 526.7239545830.

Adding to 146133306 its reverse (603331641), we get a palindrome (749464947).

The spelling of 146133306 in words is "one hundred forty-six million, one hundred thirty-three thousand, three hundred six".