146244384 has 288 divisors, whose sum is σ = 505237824. Its totient is φ = 39536640.

The previous prime is 146244383. The next prime is 146244403. The reversal of 146244384 is 483442641.

146244384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (146244383) 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 47 ways as a sum of consecutive naturals, for example, 2182719 + ... + 2182785.

It is an arithmetic number, because the mean of its divisors is an integer number (1754298).

Almost surely, 2^146244384 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 146244384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252618912).

146244384 is an abundant number, since it is smaller than the sum of its proper divisors (358993440).

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

146244384 is a wasteful number, since it uses less digits than its factorization.

146244384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 146244384 is about 12093.1544271956. The cubic root of 146244384 is about 526.8573775677.

The spelling of 146244384 in words is "one hundred forty-six million, two hundred forty-four thousand, three hundred eighty-four".