Search a number
-
+
137274274137 = 371113137333667
BaseRepresentation
bin111111111011000101…
…1110011000101011001
3111010022212202122210110
41333312023303011121
54222114203233022
6143021332034533
712626533035450
oct1776613630531
9433285678713
10137274274137
1153243826a40
1222730a62a49
13cc38c6bb60
14690361db97
1538867a900c
hex1ff62f3159

137274274137 has 64 divisors (see below), whose sum is σ = 247544285184. Its totient is φ = 65345149440.

The previous prime is 137274274061. The next prime is 137274274153. The reversal of 137274274137 is 731472472731.

It is not a de Polignac number, because 137274274137 - 211 = 137274272089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137274274187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244578 + ... + 578244.

It is an arithmetic number, because the mean of its divisors is an integer number (3867879456).

Almost surely, 2137274274137 is an apocalyptic number.

It is an amenable number.

137274274137 is a deficient number, since it is larger than the sum of its proper divisors (110270011047).

137274274137 is a wasteful number, since it uses less digits than its factorization.

137274274137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333838.

The product of its digits is 1382976, while the sum is 48.

The spelling of 137274274137 in words is "one hundred thirty-seven billion, two hundred seventy-four million, two hundred seventy-four thousand, one hundred thirty-seven".

Divisors: 1 3 7 11 13 21 33 39 77 91 137 143 231 273 411 429 959 1001 1507 1781 2877 3003 4521 5343 10549 12467 19591 31647 37401 58773 137137 333667 411411 1001001 2335669 3670337 4337671 7007007 11011011 13013013 25692359 30363697 45712379 47714381 77077077 91091091 137137137 143143143 319986653 334000667 502836169 594260927 959959959 1002002001 1508508507 1782782781 3519853183 4159826489 6536870197 10559559549 12479479467 19610610591 45758091379 137274274137