147055494400 has 216 divisors, whose sum is σ = 387896032440. Its totient is φ = 55003054080.

The previous prime is 147055494389. The next prime is 147055494401. The reversal of 147055494400 is 4494550741.

It can be written as a sum of positive squares in 12 ways, for example, as 51322183936 + 95733310464 = 226544^2 + 309408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147055494401) 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 23 ways as a sum of consecutive naturals, for example, 17077296 + ... + 17085904.

It is an arithmetic number, because the mean of its divisors is an integer number (1795814965).

Almost surely, 2^147055494400 is an apocalyptic number.

147055494400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147055494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193948016220).

147055494400 is an abundant number, since it is smaller than the sum of its proper divisors (240840538040).

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

147055494400 is a wasteful number, since it uses less digits than its factorization.

147055494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8809 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 147055494400 in words is "one hundred forty-seven billion, fifty-five million, four hundred ninety-four thousand, four hundred".