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138564 = 22331283
BaseRepresentation
bin100001110101000100
321001002000
4201311010
513413224
62545300
71114656
oct416504
9231060
10138564
1195118
1268230
134b0ba
14386d6
152b0c9
hex21d44

138564 has 24 divisors (see below), whose sum is σ = 359520. Its totient is φ = 46152.

The previous prime is 138563. The next prime is 138569. The reversal of 138564 is 465831.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (138563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (14980).

2138564 is an apocalyptic number.

It is an amenable number.

138564 is an abundant number, since it is smaller than the sum of its proper divisors (220956).

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

138564 is a wasteful number, since it uses less digits than its factorization.

138564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 138564 is about 372.2418568619. The cubic root of 138564 is about 51.7467966931.

The spelling of 138564 in words is "one hundred thirty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1283 2566 3849 5132 7698 11547 15396 23094 34641 46188 69282 138564