146438928 has 150 divisors (see below), whose sum is σ = 448747134. Its totient is φ = 46096128.

The previous prime is 146438923. The next prime is 146438989. The reversal of 146438928 is 829834641.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 79067664 + 67371264 = 8892^2 + 8208^2 .

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 (146438923) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 467700 + ... + 468012.

Almost surely, 2^146438928 is an apocalyptic number.

146438928 is a gapful number since it is divisible by the number (18) 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 146438928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224373567).

146438928 is an abundant number, since it is smaller than the sum of its proper divisors (302308206).

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

146438928 is a wasteful number, since it uses less digits than its factorization.

146438928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 337 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 146438928 is about 12101.1953128606. The cubic root of 146438928 is about 527.0908942859.

The spelling of 146438928 in words is "one hundred forty-six million, four hundred thirty-eight thousand, nine hundred twenty-eight".