147286944 has 240 divisors, whose sum is σ = 508213440. Its totient is φ = 41489280.

The previous prime is 147286933. The next prime is 147286949. The reversal of 147286944 is 449682741.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 147286944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147286949) 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 39 ways as a sum of consecutive naturals, for example, 2074429 + ... + 2074499.

It is an arithmetic number, because the mean of its divisors is an integer number (2117556).

Almost surely, 2^147286944 is an apocalyptic number.

147286944 is a gapful number since it is divisible by the number (14) 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 147286944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254106720).

147286944 is an abundant number, since it is smaller than the sum of its proper divisors (360926496).

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

147286944 is an frugal number, since it uses more digits than its factorization.

147286944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 147286944 is about 12136.1832550436. The cubic root of 147286944 is about 528.1063835227.

The spelling of 147286944 in words is "one hundred forty-seven million, two hundred eighty-six thousand, nine hundred forty-four".