147394566400 has 81 divisors (see below), whose sum is σ = 364900619041. Its totient is φ = 58945541120.

The previous prime is 147394566331. The next prime is 147394566409. The reversal of 147394566400 is 4665493741.

The square root of 147394566400 is 383920.

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., 53062043904 + 94332522496 = 230352^2 + 307136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147394566409) 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, 30711201 + ... + 30715999.

Almost surely, 2^147394566400 is an apocalyptic number.

147394566400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147394566400 is the 383920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147394566400

147394566400 is an abundant number, since it is smaller than the sum of its proper divisors (217506052641).

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

147394566400 is an frugal number, since it uses more digits than its factorization.

147394566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9624 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 147394566400 by its sum of digits (49), we get a square (7222333753600 = 2687440²).

The spelling of 147394566400 in words is "one hundred forty-seven billion, three hundred ninety-four million, five hundred sixty-six thousand, four hundred".