146528 has 24 divisors (see below), whose sum is σ = 304920. Its totient is φ = 69120.

The previous prime is 146527. The next prime is 146539. The reversal of 146528 is 825641.

It is a junction number, because it is equal to n+sod(n) for n = 146497 and 146506.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146528.

It is not an unprimeable number, because it can be changed into a prime (146521) 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 3 ways as a sum of consecutive naturals, for example, 488 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (12705).

2¹⁴⁶⁵²⁸ 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 146528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152460).

146528 is an abundant number, since it is smaller than the sum of its proper divisors (158392).

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

146528 is a wasteful number, since it uses less digits than its factorization.

146528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 146528 is about 382.7897595286. The cubic root of 146528 is about 52.7197740931.

The spelling of 146528 in words is "one hundred forty-six thousand, five hundred twenty-eight".