147281328 has 180 divisors, whose sum is σ = 453945648. Its totient is φ = 46189440.

The previous prime is 147281311. The next prime is 147281333. The reversal of 147281328 is 823182741.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147281292 and 147281301.

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 35 ways as a sum of consecutive naturals, for example, 2414418 + ... + 2414478.

Almost surely, 2^147281328 is an apocalyptic number.

147281328 is a gapful number since it is divisible by the number (18) 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 147281328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226972824).

147281328 is an abundant number, since it is smaller than the sum of its proper divisors (306664320).

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

147281328 is an frugal number, since it uses more digits than its factorization.

147281328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 147281328 is about 12135.9518786126. The cubic root of 147281328 is about 528.0996712664.

The spelling of 147281328 in words is "one hundred forty-seven million, two hundred eighty-one thousand, three hundred twenty-eight".