147798144 has 192 divisors, whose sum is σ = 467812800. Its totient is φ = 44513280.

The previous prime is 147798143. The next prime is 147798151. The reversal of 147798144 is 441897741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 147798144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147798143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1063227 + ... + 1063365.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^147798144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233906400).

147798144 is an abundant number, since it is smaller than the sum of its proper divisors (320014656).

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

147798144 is a wasteful number, since it uses less digits than its factorization.

147798144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 147798144 is about 12157.2259993800. The cubic root of 147798144 is about 528.7166576900.

The spelling of 147798144 in words is "one hundred forty-seven million, seven hundred ninety-eight thousand, one hundred forty-four".