147352608 has 120 divisors (see below), whose sum is σ = 466802028. Its totient is φ = 45328896.

The previous prime is 147352591. The next prime is 147352609. The reversal of 147352608 is 806253741.

147352608 is a `hidden beast` number, since 1 + 47 + 3 + 5 + 2 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143712144 + 3640464 = 11988^2 + 1908^2 .

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 (147352609) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31510 + ... + 35882.

Almost surely, 2^147352608 is an apocalyptic number.

147352608 is a gapful number since it is divisible by the number (18) 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 147352608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233401014).

147352608 is an abundant number, since it is smaller than the sum of its proper divisors (319449420).

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

147352608 is a wasteful number, since it uses less digits than its factorization.

147352608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 147352608 is about 12138.8882522247. Note that the first 3 decimals coincide. The cubic root of 147352608 is about 528.1848526310.

The spelling of 147352608 in words is "one hundred forty-seven million, three hundred fifty-two thousand, six hundred eight".