147331314 has 48 divisors (see below), whose sum is σ = 345165912. Its totient is φ = 45149184.

The previous prime is 147331297. The next prime is 147331351. The reversal of 147331314 is 413133741.

147331314 is a `hidden beast` number, since 14 + 7 + 331 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108056025 + 39275289 = 10395^2 + 6267^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63682 + ... + 65954.

Almost surely, 2^147331314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147331314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172582956).

147331314 is an abundant number, since it is smaller than the sum of its proper divisors (197834598).

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

147331314 is a wasteful number, since it uses less digits than its factorization.

147331314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2568 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 147331314 is about 12138.0111220908. The cubic root of 147331314 is about 528.1594086518.

The spelling of 147331314 in words is "one hundred forty-seven million, three hundred thirty-one thousand, three hundred fourteen".