147229084800 has 1944 divisors, whose sum is σ = 685146484035. Its totient is φ = 30005821440.

The previous prime is 147229084799. The next prime is 147229084813. The reversal of 147229084800 is 8480922741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

147229084800 is a `hidden beast` number, since 1 + 472 + 29 + 0 + 84 + 80 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 95867021376 + 51362063424 = 309624^2 + 226632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=271320.

It is a super-2 number, since 2×147229084800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 242 ways as a sum of consecutive naturals, for example, 7748899191 + ... + 7748899209.

Almost surely, 2^147229084800 is an apocalyptic number.

147229084800 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 147229084800

147229084800 is an abundant number, since it is smaller than the sum of its proper divisors (537917399235).

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

147229084800 is a wasteful number, since it uses less digits than its factorization.

147229084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 147229084800 in words is "one hundred forty-seven billion, two hundred twenty-nine million, eighty-four thousand, eight hundred".