147097728 has 128 divisors (see below), whose sum is σ = 448473600. Its totient is φ = 47416320.

The previous prime is 147097703. The next prime is 147097751. The reversal of 147097728 is 827790741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106450 + ... + 107822.

It is an arithmetic number, because the mean of its divisors is an integer number (3503700).

Almost surely, 2^147097728 is an apocalyptic number.

147097728 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 147097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224236800).

147097728 is an abundant number, since it is smaller than the sum of its proper divisors (301375872).

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

147097728 is a wasteful number, since it uses less digits than its factorization.

147097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 147097728 is about 12128.3852181566. The cubic root of 147097728 is about 527.8801380813.

The spelling of 147097728 in words is "one hundred forty-seven million, ninety-seven thousand, seven hundred twenty-eight".