146183040 has 192 divisors, whose sum is σ = 517935600. Its totient is φ = 37969920.

The previous prime is 146182987. The next prime is 146183047. The reversal of 146183040 is 40381641.

146183040 is a `hidden beast` number, since 1 + 4 + 618 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 146182995 and 146183013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146183047) 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 23 ways as a sum of consecutive naturals, for example, 235851 + ... + 236469.

Almost surely, 2^146183040 is an apocalyptic number.

146183040 is a gapful number since it is divisible by the number (10) 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 146183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258967800).

146183040 is an abundant number, since it is smaller than the sum of its proper divisors (371752560).

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

146183040 is a wasteful number, since it uses less digits than its factorization.

146183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 146183040 is about 12090.6178502176. The cubic root of 146183040 is about 526.7837016697.

The spelling of 146183040 in words is "one hundred forty-six million, one hundred eighty-three thousand, forty".