146288128 has 120 divisors (see below), whose sum is σ = 361061712. Its totient is φ = 59006976.

The previous prime is 146288117. The next prime is 146288141. The reversal of 146288128 is 821882641.

It is a congruent number.

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, 8605176 + ... + 8605192.

Almost surely, 2^146288128 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 146288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180530856).

146288128 is an abundant number, since it is smaller than the sum of its proper divisors (214773584).

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

146288128 is an frugal number, since it uses more digits than its factorization.

146288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 26 counting only the distinct ones).

The product of its digits is 49152, while the sum is 40.

The square root of 146288128 is about 12094.9629185045. The cubic root of 146288128 is about 526.9099027793.

The spelling of 146288128 in words is "one hundred forty-six million, two hundred eighty-eight thousand, one hundred twenty-eight".