Search a number
-
+
137381886 = 2333078287
BaseRepresentation
bin10000011000001…
…00011111111110
3100120111201112000
420030010133332
5240132210021
621344323130
73255504165
oct1014043776
9316451460
10137381886
1170604054
123a0134a6
1322601775
14143623dc
15c0dab26
hex83047fe

137381886 has 32 divisors (see below), whose sum is σ = 306324480. Its totient is φ = 45639288.

The previous prime is 137381813. The next prime is 137381887. The reversal of 137381886 is 688183731.

137381886 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137381887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12435 + ... + 20721.

It is an arithmetic number, because the mean of its divisors is an integer number (9572640).

Almost surely, 2137381886 is an apocalyptic number.

137381886 is an abundant number, since it is smaller than the sum of its proper divisors (168942594).

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

137381886 is a wasteful number, since it uses less digits than its factorization.

137381886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8605 (or 8599 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 137381886 is about 11721.0019196313. The cubic root of 137381886 is about 515.9922254102.

Subtracting from 137381886 its sum of digits (45), we obtain a square (137381841 = 117212).

The spelling of 137381886 in words is "one hundred thirty-seven million, three hundred eighty-one thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 307 614 921 1842 2763 5526 8287 8289 16574 16578 24861 49722 74583 149166 223749 447498 2544109 5088218 7632327 15264654 22896981 45793962 68690943 137381886