147164304400 has 45 divisors (see below), whose sum is σ = 353580675223. Its totient is φ = 58862652800.

The previous prime is 147164304389. The next prime is 147164304407. The reversal of 147164304400 is 4403461741.

The square root of 147164304400 is 383620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2569678864 + 144594625536 = 50692^2 + 380256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147164304407) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 7662810 + ... + 7681990.

Almost surely, 2^147164304400 is an apocalyptic number.

147164304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147164304400 is the 383620-th square number.

It is an amenable number.

147164304400 is an abundant number, since it is smaller than the sum of its proper divisors (206416370823).

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

147164304400 is an frugal number, since it uses more digits than its factorization.

147164304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38380 (or 19188 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 147164304400 in words is "one hundred forty-seven billion, one hundred sixty-four million, three hundred four thousand, four hundred".