147564864 has 42 divisors (see below), whose sum is σ = 422969690. Its totient is φ = 49188096.

The previous prime is 147564853. The next prime is 147564869. The reversal of 147564864 is 468465741.

147564864 is a `hidden beast` number, since 1 + 4 + 7 + 564 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106502400 + 41062464 = 10320^2 + 6408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147564869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127519 + ... + 128670.

Almost surely, 2^147564864 is an apocalyptic number.

It is an amenable number.

147564864 is an abundant number, since it is smaller than the sum of its proper divisors (275404826).

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

147564864 is a wasteful number, since it uses less digits than its factorization.

147564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256207 (or 256194 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 147564864 is about 12147.6279165934. The cubic root of 147564864 is about 528.4383412262.

The spelling of 147564864 in words is "one hundred forty-seven million, five hundred sixty-four thousand, eight hundred sixty-four".