147185424 has 75 divisors (see below), whose sum is σ = 427265157. Its totient is φ = 48916224.

The previous prime is 147185413. The next prime is 147185461. The reversal of 147185424 is 424581741.

It is a happy number.

The square root of 147185424 is 12132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39690000 + 107495424 = 6300^2 + 10368^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 436584 + ... + 436920.

Almost surely, 2^147185424 is an apocalyptic number.

147185424 is the 12132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147185424

147185424 is an abundant number, since it is smaller than the sum of its proper divisors (280079733).

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

147185424 is an frugal number, since it uses more digits than its factorization.

147185424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 342 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The cubic root of 147185424 is about 527.9850202362.

Multiplying 147185424 by its sum of digits (36), we get a square (5298675264 = 72792²).

147185424 divided by its sum of digits (36) gives a square (4088484 = 2022²).

The spelling of 147185424 in words is "one hundred forty-seven million, one hundred eighty-five thousand, four hundred twenty-four".