147972564 has 18 divisors (see below), whose sum is σ = 374041850. Its totient is φ = 49324176.

The previous prime is 147972563. The next prime is 147972571. The reversal of 147972564 is 465279741.

147972564 is a `hidden beast` number, since 14 + 7 + 9 + 72 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146603664 + 1368900 = 12108^2 + 1170^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147972563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2055139 + ... + 2055210.

Almost surely, 2^147972564 is an apocalyptic number.

It is an amenable number.

147972564 is an abundant number, since it is smaller than the sum of its proper divisors (226069286).

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

147972564 is a wasteful number, since it uses less digits than its factorization.

147972564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110359 (or 4110354 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 147972564 is about 12164.3973956789. The cubic root of 147972564 is about 528.9245595039.

The spelling of 147972564 in words is "one hundred forty-seven million, nine hundred seventy-two thousand, five hundred sixty-four".