146628384 has 192 divisors, whose sum is σ = 462470400. Its totient is φ = 40642560.

The previous prime is 146628371. The next prime is 146628389. The reversal of 146628384 is 483826641.

146628384 is digitally balanced in base 2, 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 (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146628389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2008572 + ... + 2008644.

It is an arithmetic number, because the mean of its divisors is an integer number (2408700).

Almost surely, 2^146628384 is an apocalyptic number.

146628384 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 146628384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231235200).

146628384 is an abundant number, since it is smaller than the sum of its proper divisors (315842016).

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

146628384 is an equidigital number, since it uses as much as digits as its factorization.

146628384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 146628384 is about 12109.0207696576. The cubic root of 146628384 is about 527.3181050414.

The spelling of 146628384 in words is "one hundred forty-six million, six hundred twenty-eight thousand, three hundred eighty-four".