147931149663025 has 81 divisors (see below), whose sum is σ = 191320084919019. Its totient is φ = 113463349116000.

The previous prime is 147931149662999. The next prime is 147931149663067. The reversal of 147931149663025 is 520366941139741.

It is a happy number.

The square root of 147931149663025 is 12162695.

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

It can be written as a sum of positive squares in only one way, i.e., 53255213878689 + 94675935784336 = 7297617^2 + 9730156^2 .

It is not a de Polignac number, because 147931149663025 - 2⁷ = 147931149662897 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 246963521676 + ... + 246963522274.

Almost surely, 2^{147931149663025} is an apocalyptic number.

147931149663025 is the 12162695-th square number.

147931149663025 is the 6081348-th centered octagonal number.

It is an amenable number.

147931149663025 is a deficient number, since it is larger than the sum of its proper divisors (43388935255994).

147931149663025 is an frugal number, since it uses more digits than its factorization.

147931149663025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 147931149663025 in words is "one hundred forty-seven trillion, nine hundred thirty-one billion, one hundred forty-nine million, six hundred sixty-three thousand, twenty-five".