147296299264 has 135 divisors (see below), whose sum is σ = 316202197423. Its totient is φ = 68480774144.

The previous prime is 147296299237. The next prime is 147296299279. The reversal of 147296299264 is 462992692741.

It is a happy number.

The square root of 147296299264 is 383792.

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

It can be written as a sum of positive squares in 2 ways, for example, as 45713860864 + 101582438400 = 213808^2 + 318720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1774654167 + ... + 1774654249.

Almost surely, 2^147296299264 is an apocalyptic number.

147296299264 is the 383792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147296299264

147296299264 is an abundant number, since it is smaller than the sum of its proper divisors (168905898159).

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

147296299264 is an frugal number, since it uses more digits than its factorization.

147296299264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 102 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 61.

The spelling of 147296299264 in words is "one hundred forty-seven billion, two hundred ninety-six million, two hundred ninety-nine thousand, two hundred sixty-four".