146218320 has 120 divisors (see below), whose sum is σ = 506967552. Its totient is φ = 37728000.

The previous prime is 146218313. The next prime is 146218379. The reversal of 146218320 is 23812641.

146218320 is a `hidden beast` number, since 1 + 4 + 621 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19045 + ... + 25595.

Almost surely, 2^146218320 is an apocalyptic number.

146218320 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 146218320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253483776).

146218320 is an abundant number, since it is smaller than the sum of its proper divisors (360749232).

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

146218320 is a wasteful number, since it uses less digits than its factorization.

146218320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6592 counting only the distinct ones).

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

The square root of 146218320 is about 12092.0767447118. The cubic root of 146218320 is about 526.8260764762.

The spelling of 146218320 in words is "one hundred forty-six million, two hundred eighteen thousand, three hundred twenty".