147436056405625 has 45 divisors (see below), whose sum is σ = 199503597779409. Its totient is φ = 108872942880000.

The previous prime is 147436056405613. The next prime is 147436056405707. The reversal of 147436056405625 is 526504650634741.

The square root of 147436056405625 is 12142325.

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

It can be written as a sum of positive squares in 22 ways, for example, as 116373759302889 + 31062297102736 = 10787667^2 + 5573356^2 .

It is not a de Polignac number, because 147436056405625 - 2⁷ = 147436056405497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 147436056405625.

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 44 ways as a sum of consecutive naturals, for example, 3946236945 + ... + 3946274305.

Almost surely, 2^{147436056405625} is an apocalyptic number.

147436056405625 is the 12142325-th square number.

147436056405625 is the 6071163-rd centered octagonal number.

It is an amenable number.

147436056405625 is a deficient number, since it is larger than the sum of its proper divisors (52067541373784).

147436056405625 is an frugal number, since it uses more digits than its factorization.

147436056405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74768 (or 37379 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 58.

The spelling of 147436056405625 in words is "one hundred forty-seven trillion, four hundred thirty-six billion, fifty-six million, four hundred five thousand, six hundred twenty-five".