147528416 has 48 divisors (see below), whose sum is σ = 338738400. Its totient is φ = 63221760.

The previous prime is 147528413. The next prime is 147528419. The reversal of 147528416 is 614825741.

It is an interprime number because it is at equal distance from previous prime (147528413) and next prime (147528419).

It is a self number, because there is not a number n which added to its sum of digits gives 147528416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147528413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4256 + ... + 17696.

It is an arithmetic number, because the mean of its divisors is an integer number (7057050).

Almost surely, 2^147528416 is an apocalyptic number.

147528416 is a gapful number since it is divisible by the number (16) 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 147528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169369200).

147528416 is an abundant number, since it is smaller than the sum of its proper divisors (191209984).

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

147528416 is an equidigital number, since it uses as much as digits as its factorization.

147528416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13472 (or 13450 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 147528416 is about 12146.1276133589. The cubic root of 147528416 is about 528.3948301759.

The spelling of 147528416 in words is "one hundred forty-seven million, five hundred twenty-eight thousand, four hundred sixteen".