147306528 has 72 divisors (see below), whose sum is σ = 423301788. Its totient is φ = 48586752.

The previous prime is 147306517. The next prime is 147306529. The reversal of 147306528 is 825603741.

It can be written as a sum of positive squares in 2 ways, for example, as 147185424 + 121104 = 12132^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×147306528³ (a number of 25 digits) contains 333 as substring.

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 = 147306492 and 147306501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147306529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25300 + ... + 30572.

Almost surely, 2^147306528 is an apocalyptic number.

147306528 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 147306528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211650894).

147306528 is an abundant number, since it is smaller than the sum of its proper divisors (275995260).

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

147306528 is a wasteful number, since it uses less digits than its factorization.

147306528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 147306528 is about 12136.9900716776. The cubic root of 147306528 is about 528.1297890303.

The spelling of 147306528 in words is "one hundred forty-seven million, three hundred six thousand, five hundred twenty-eight".