Search a number
-
+
138165168 = 2433737717
BaseRepresentation
bin10000011110000…
…11101110110000
3100121222111222110
420033003232300
5240332241133
621413205320
73265245621
oct1017035660
9317874873
10138165168
1170a99599
123a330840
132281714b
14144c7a48
15c1e2c63
hex83c3bb0

138165168 has 40 divisors (see below), whose sum is σ = 357929968. Its totient is φ = 45925632.

The previous prime is 138165161. The next prime is 138165173. The reversal of 138165168 is 861561831.

It is a super-2 number, since 2×1381651682 = 38179227296936448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138165161) 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 7 ways as a sum of consecutive naturals, for example, 14046 + ... + 21762.

Almost surely, 2138165168 is an apocalyptic number.

It is an amenable number.

138165168 is an abundant number, since it is smaller than the sum of its proper divisors (219764800).

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

138165168 is a wasteful number, since it uses less digits than its factorization.

138165168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101 (or 8095 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 138165168 is about 11754.3680391589. The cubic root of 138165168 is about 516.9710097766.

The spelling of 138165168 in words is "one hundred thirty-eight million, one hundred sixty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 373 746 1119 1492 2238 2984 4476 5968 7717 8952 15434 17904 23151 30868 46302 61736 92604 123472 185208 370416 2878441 5756882 8635323 11513764 17270646 23027528 34541292 46055056 69082584 138165168