146538528 has 48 divisors (see below), whose sum is σ = 385328160. Its totient is φ = 48761856.

The previous prime is 146538523. The next prime is 146538541. The reversal of 146538528 is 825835641.

146538528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 146538528.

It is not an unprimeable number, because it can be changed into a prime (146538523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81576 + ... + 83352.

It is an arithmetic number, because the mean of its divisors is an integer number (8027670).

Almost surely, 2^146538528 is an apocalyptic number.

It is an amenable number.

146538528 is an abundant number, since it is smaller than the sum of its proper divisors (238789632).

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

146538528 is a wasteful number, since it uses less digits than its factorization.

146538528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2641 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 146538528 is about 12105.3099092919. The cubic root of 146538528 is about 527.2103669701.

It can be divided in two parts, 1465 and 38528, that added together give a palindrome (39993).

The spelling of 146538528 in words is "one hundred forty-six million, five hundred thirty-eight thousand, five hundred twenty-eight".