147361824 has 72 divisors (see below), whose sum is σ = 430417260. Its totient is φ = 47789568.

The previous prime is 147361811. The next prime is 147361829. The reversal of 147361824 is 428163741.

147361824 is a `hidden beast` number, since 1 + 473 + 6 + 182 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147185424 + 176400 = 12132^2 + 420^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (147361829) 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 11 ways as a sum of consecutive naturals, for example, 3742 + ... + 17570.

Almost surely, 2^147361824 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 147361824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215208630).

147361824 is an abundant number, since it is smaller than the sum of its proper divisors (283055436).

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

147361824 is a wasteful number, since it uses less digits than its factorization.

147361824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13882 (or 13871 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 147361824 is about 12139.2678527167. The cubic root of 147361824 is about 528.1958639735.

The spelling of 147361824 in words is "one hundred forty-seven million, three hundred sixty-one thousand, eight hundred twenty-four".