147000864 has 48 divisors (see below), whose sum is σ = 388856160. Its totient is φ = 48622080.

The previous prime is 147000851. The next prime is 147000869. The reversal of 147000864 is 468000741.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (147000869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6732 + ... + 18420.

It is an arithmetic number, because the mean of its divisors is an integer number (8101170).

Almost surely, 2^147000864 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 147000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194428080).

147000864 is an abundant number, since it is smaller than the sum of its proper divisors (241855296).

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

147000864 is a wasteful number, since it uses less digits than its factorization.

147000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11833 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 147000864 is about 12124.3912836893. The cubic root of 147000864 is about 527.7642427734.

The spelling of 147000864 in words is "one hundred forty-seven million, eight hundred sixty-four", and thus it is an aban number.