147335968 has 48 divisors (see below), whose sum is σ = 314609400. Its totient is φ = 67516416.

The previous prime is 147335927. The next prime is 147335971. The reversal of 147335968 is 869533741.

147335968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 62916624 + 84419344 = 7932^2 + 9188^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60796 + ... + 63172.

Almost surely, 2^147335968 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 147335968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157304700).

147335968 is an abundant number, since it is smaller than the sum of its proper divisors (167273432).

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

147335968 is a wasteful number, since it uses less digits than its factorization.

147335968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2541 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 147335968 is about 12138.2028323801. The cubic root of 147335968 is about 528.1649698773.

The spelling of 147335968 in words is "one hundred forty-seven million, three hundred thirty-five thousand, nine hundred sixty-eight".