Search a number
-
+
137140164837 = 321343137198971
BaseRepresentation
bin111111110111000110…
…0001101100011100101
3111002222112102012102100
41333232030031203211
54221330340233322
6143000141402313
712623314111314
oct1775614154345
9432875365370
10137140164837
1153185058705
12226b3b69399
13cc17244b40
1468cd8b027b
153879b17dac
hex1fee30d8e5

137140164837 has 48 divisors (see below), whose sum is σ = 219884753088. Its totient is φ = 81829198080.

The previous prime is 137140164827. The next prime is 137140164851. The reversal of 137140164837 is 738461041731.

137140164837 is a `hidden beast` number, since 1 + 371 + 40 + 164 + 83 + 7 = 666.

It is not a de Polignac number, because 137140164837 - 222 = 137135970533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137140164792 and 137140164801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137140164827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589762 + ... + 788732.

It is an arithmetic number, because the mean of its divisors is an integer number (4580932356).

Almost surely, 2137140164837 is an apocalyptic number.

It is an amenable number.

137140164837 is a deficient number, since it is larger than the sum of its proper divisors (82744588251).

137140164837 is a wasteful number, since it uses less digits than its factorization.

137140164837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199170 (or 199167 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 137140164837 in words is "one hundred thirty-seven billion, one hundred forty million, one hundred sixty-four thousand, eight hundred thirty-seven".

Divisors: 1 3 9 13 39 43 117 129 137 387 411 559 1233 1677 1781 5031 5343 5891 16029 17673 53019 76583 198971 229749 596913 689247 1790739 2586623 7759869 8555753 23279607 25667259 27259027 77001777 81777081 111224789 245331243 333674367 354367351 1001023101 1063102053 1172138161 3189306159 3516414483 10549243449 15237796093 45713388279 137140164837