147768352 has 72 divisors (see below), whose sum is σ = 317454228. Its totient is φ = 67461120.

The previous prime is 147768347. The next prime is 147768373. The reversal of 147768352 is 253867741.

It can be written as a sum of positive squares in 6 ways, for example, as 18627856 + 129140496 = 4316^2 + 11364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 147768299 and 147768308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2024188 + ... + 2024260.

Almost surely, 2^147768352 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 147768352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158727114).

147768352 is an abundant number, since it is smaller than the sum of its proper divisors (169685876).

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

147768352 is an equidigital number, since it uses as much as digits as its factorization.

147768352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 153 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 147768352 is about 12156.0006581112. Note that the first 3 decimals coincide. The cubic root of 147768352 is about 528.6811304393.

The spelling of 147768352 in words is "one hundred forty-seven million, seven hundred sixty-eight thousand, three hundred fifty-two".