146006784 has 216 divisors, whose sum is σ = 525487872. Its totient is φ = 37877760.

The previous prime is 146006767. The next prime is 146006813. The reversal of 146006784 is 487600641.

146006784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 176997 + ... + 177819.

Almost surely, 2^146006784 is an apocalyptic number.

146006784 is a gapful number since it is divisible by the number (14) 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 146006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262743936).

146006784 is an abundant number, since it is smaller than the sum of its proper divisors (379481088).

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

146006784 is a wasteful number, since it uses less digits than its factorization.

146006784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 146006784 is about 12083.3266942510. The cubic root of 146006784 is about 526.5718984178.

The spelling of 146006784 in words is "one hundred forty-six million, six thousand, seven hundred eighty-four".