146640384 has 180 divisors, whose sum is σ = 466954488. Its totient is φ = 44267520.

The previous prime is 146640367. The next prime is 146640407. The reversal of 146640384 is 483046641.

146640384 is a `hidden beast` number, since 1 + 4 + 6 + 640 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 557437 + ... + 557699.

Almost surely, 2^146640384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233477244).

146640384 is an abundant number, since it is smaller than the sum of its proper divisors (320314104).

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

146640384 is a wasteful number, since it uses less digits than its factorization.

146640384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 146640384 is about 12109.5162578858. The cubic root of 146640384 is about 527.3324898066.

The spelling of 146640384 in words is "one hundred forty-six million, six hundred forty thousand, three hundred eighty-four".