147075763200 has 528 divisors, whose sum is σ = 517126830336. Its totient is φ = 36783718400.

The previous prime is 147075763183. The next prime is 147075763207. The reversal of 147075763200 is 2367570741.

It is not an unprimeable number, because it can be changed into a prime (147075763207) 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 47 ways as a sum of consecutive naturals, for example, 93618415 + ... + 93619985.

Almost surely, 2^147075763200 is an apocalyptic number.

147075763200 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 147075763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258563415168).

147075763200 is an abundant number, since it is smaller than the sum of its proper divisors (370051067136).

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

147075763200 is a wasteful number, since it uses less digits than its factorization.

147075763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 147075763200 in words is "one hundred forty-seven billion, seventy-five million, seven hundred sixty-three thousand, two hundred".