Search a number
-
+
137347145 = 51322337191
BaseRepresentation
bin10000010111111…
…00000001001001
3100120102221212022
420023330001021
5240130102040
621343454225
73255300665
oct1013740111
9316387768
10137347145
117058aa41
1239bb7375
13225bba00
14143538a5
15c0d06b5
hex82fc049

137347145 has 48 divisors (see below), whose sum is σ = 192264192. Its totient is φ = 93899520.

The previous prime is 137347141. The next prime is 137347159. The reversal of 137347145 is 541743731.

It is not a de Polignac number, because 137347145 - 22 = 137347141 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137347141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719000 + ... + 719190.

It is an arithmetic number, because the mean of its divisors is an integer number (4005504).

Almost surely, 2137347145 is an apocalyptic number.

It is an amenable number.

137347145 is a deficient number, since it is larger than the sum of its proper divisors (54917047).

137347145 is a wasteful number, since it uses less digits than its factorization.

137347145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 137347145 is about 11719.5198280476. The cubic root of 137347145 is about 515.9487272031.

The spelling of 137347145 in words is "one hundred thirty-seven million, three hundred forty-seven thousand, one hundred forty-five".

Divisors: 1 5 13 23 37 65 115 169 185 191 299 481 845 851 955 1495 2405 2483 3887 4255 4393 6253 7067 11063 12415 19435 21965 31265 32279 35335 55315 57109 91871 143819 161395 162541 285545 459355 719095 742417 812705 1194323 2113033 3712085 5971615 10565165 27469429 137347145