147112641 has 27 divisors (see below), whose sum is σ = 230841507. Its totient is φ = 90239760.

The previous prime is 147112631. The next prime is 147112643. The reversal of 147112641 is 146211741.

The square root of 147112641 is 12129.

It is a perfect power (a square), and thus also a powerful number.

147112641 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 12 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21762225 + 125350416 = 4665^2 + 11196^2 .

It is not a de Polignac number, because 147112641 - 2⁹ = 147112129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (147112643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 472876 + ... + 473186.

Almost surely, 2^147112641 is an apocalyptic number.

147112641 is the 12129-th square number.

147112641 is the 6065-th centered octagonal number.

It is an amenable number.

147112641 is a deficient number, since it is larger than the sum of its proper divisors (83728866).

147112641 is an equidigital number, since it uses as much as digits as its factorization.

147112641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The cubic root of 147112641 is about 527.8979765859.

The spelling of 147112641 in words is "one hundred forty-seven million, one hundred twelve thousand, six hundred forty-one".