147128064 has 144 divisors (see below), whose sum is σ = 423843840. Its totient is φ = 45137920.

The previous prime is 147128029. The next prime is 147128101. The reversal of 147128064 is 460821741.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770209 + ... + 770399.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 2^147128064 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 147128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211921920).

147128064 is an abundant number, since it is smaller than the sum of its proper divisors (276715776).

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

147128064 is a wasteful number, since it uses less digits than its factorization.

147128064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 147128064 is about 12129.6357735919. The cubic root of 147128064 is about 527.9164238698.

The spelling of 147128064 in words is "one hundred forty-seven million, one hundred twenty-eight thousand, sixty-four".