146608128 has 156 divisors (see below), whose sum is σ = 438284028. Its totient is φ = 47185920.

The previous prime is 146608093. The next prime is 146608139. The reversal of 146608128 is 821806641.

146608128 is a `hidden beast` number, since 1 + 46 + 608 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 115605504 = 5568^2 + 10752^2 .

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 = 146608092 and 146608101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511376 + ... + 1511472.

It is an arithmetic number, because the mean of its divisors is an integer number (2809513).

Almost surely, 2^146608128 is an apocalyptic number.

146608128 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 146608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219142014).

146608128 is an abundant number, since it is smaller than the sum of its proper divisors (291675900).

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

146608128 is an equidigital number, since it uses as much as digits as its factorization.

146608128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 146608128 is about 12108.1843395284. The cubic root of 146608128 is about 527.2938217770.

The spelling of 146608128 in words is "one hundred forty-six million, six hundred eight thousand, one hundred twenty-eight".