147564963 has 128 divisors (see below), whose sum is σ = 295680000. Its totient is φ = 70543872.

The previous prime is 147564961. The next prime is 147564971. The reversal of 147564963 is 369465741.

147564963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 147564963 - 2¹ = 147564961 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (544320) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (147564961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1353753 + ... + 1353861.

It is an arithmetic number, because the mean of its divisors is an integer number (2310000).

Almost surely, 2^147564963 is an apocalyptic number.

147564963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

147564963 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

147564963 is a wasteful number, since it uses less digits than its factorization.

147564963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 147564963 is about 12147.6319914624. The cubic root of 147564963 is about 528.4384594011.

The spelling of 147564963 in words is "one hundred forty-seven million, five hundred sixty-four thousand, nine hundred sixty-three".