146204928 has 216 divisors, whose sum is σ = 459164160. Its totient is φ = 44605440.

The previous prime is 146204923. The next prime is 146204939. The reversal of 146204928 is 829402641.

146204928 is a `hidden beast` number, since 1 + 4 + 620 + 4 + 9 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 146204892 and 146204901.

It is not an unprimeable number, because it can be changed into a prime (146204923) 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 23 ways as a sum of consecutive naturals, for example, 1642708 + ... + 1642796.

It is an arithmetic number, because the mean of its divisors is an integer number (2125760).

Almost surely, 2^146204928 is an apocalyptic number.

146204928 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 146204928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229582080).

146204928 is an abundant number, since it is smaller than the sum of its proper divisors (312959232).

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

146204928 is a wasteful number, since it uses less digits than its factorization.

146204928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146204928 is about 12091.5229809979. The cubic root of 146204928 is about 526.8099921483.

The spelling of 146204928 in words is "one hundred forty-six million, two hundred four thousand, nine hundred twenty-eight".