146236032 has 96 divisors (see below), whose sum is σ = 427913460. Its totient is φ = 47923200.

The previous prime is 146235979. The next prime is 146236033. The reversal of 146236032 is 230632641.

146236032 is a `hidden beast` number, since 1 + 4 + 623 + 6 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127780416 + 18455616 = 11304^2 + 4296^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 146235987 and 146236005.

It is not an unprimeable number, because it can be changed into a prime (146236033) 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, 69232 + ... + 71312.

Almost surely, 2^146236032 is an apocalyptic number.

146236032 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 146236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213956730).

146236032 is an abundant number, since it is smaller than the sum of its proper divisors (281677428).

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

146236032 is a wasteful number, since it uses less digits than its factorization.

146236032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 146236032 is about 12092.8091029339. The cubic root of 146236032 is about 526.8473477887.

Adding to 146236032 its reverse (230632641), we get a palindrome (376868673).

The spelling of 146236032 in words is "one hundred forty-six million, two hundred thirty-six thousand, thirty-two".