147528216 has 96 divisors (see below), whose sum is σ = 452088000. Its totient is φ = 44699040.

The previous prime is 147528211. The next prime is 147528223. The reversal of 147528216 is 612825741.

It is a super-2 number, since 2×147528216² = 43529149032285312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147528211) 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 23 ways as a sum of consecutive naturals, for example, 17935 + ... + 24833.

It is an arithmetic number, because the mean of its divisors is an integer number (4709250).

Almost surely, 2^147528216 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 147528216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226044000).

147528216 is an abundant number, since it is smaller than the sum of its proper divisors (304559784).

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

147528216 is a wasteful number, since it uses less digits than its factorization.

147528216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6931 (or 6915 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 147528216 is about 12146.1193802794. The cubic root of 147528216 is about 528.3945913993.

The spelling of 147528216 in words is "one hundred forty-seven million, five hundred twenty-eight thousand, two hundred sixteen".