147990528 has 288 divisors, whose sum is σ = 517870080. Its totient is φ = 39813120.

The previous prime is 147990527. The next prime is 147990539. The reversal of 147990528 is 825099741.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (147990527) 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 23 ways as a sum of consecutive naturals, for example, 3999726 + ... + 3999762.

It is an arithmetic number, because the mean of its divisors is an integer number (1798160).

Almost surely, 2^147990528 is an apocalyptic number.

147990528 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 147990528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258935040).

147990528 is an abundant number, since it is smaller than the sum of its proper divisors (369879552).

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

147990528 is a wasteful number, since it uses less digits than its factorization.

147990528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 147990528 is about 12165.1357575656. The cubic root of 147990528 is about 528.9459626074.

The spelling of 147990528 in words is "one hundred forty-seven million, nine hundred ninety thousand, five hundred twenty-eight".