147135799200 has 576 divisors, whose sum is σ = 528158195712. Its totient is φ = 35359027200.

The previous prime is 147135799169. The next prime is 147135799207. The reversal of 147135799200 is 2997531741.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 147135799200.

It is not an unprimeable number, because it can be changed into a prime (147135799207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281330139 + ... + 281330661.

It is an arithmetic number, because the mean of its divisors is an integer number (916941312).

Almost surely, 2^147135799200 is an apocalyptic number.

147135799200 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 147135799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264079097856).

147135799200 is an abundant number, since it is smaller than the sum of its proper divisors (381022396512).

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

147135799200 is a wasteful number, since it uses less digits than its factorization.

147135799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 147135799200 in words is "one hundred forty-seven billion, one hundred thirty-five million, seven hundred ninety-nine thousand, two hundred".