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137432305165 = 51714811091729
BaseRepresentation
bin111111111111110011…
…0101000111000001101
3111010201220010110121111
41333333212220320031
54222430132231130
6143045135132021
712633462214351
oct1777746507015
9433656113544
10137432305165
1153314a53aa1
1222775974011
13cc6292033c
14691a5d9461
1538955c302a
hex1fff9a8e0d

137432305165 has 16 divisors (see below), whose sum is σ = 174737936880. Its totient is φ = 103408476160.

The previous prime is 137432305151. The next prime is 137432305211. The reversal of 137432305165 is 561503234731.

It can be written as a sum of positive squares in 8 ways, for example, as 5094961641 + 132337343524 = 71379^2 + 363782^2 .

It is not a de Polignac number, because 137432305165 - 27 = 137432305037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419980 + ... + 671749.

It is an arithmetic number, because the mean of its divisors is an integer number (10921121055).

Almost surely, 2137432305165 is an apocalyptic number.

It is an amenable number.

137432305165 is a deficient number, since it is larger than the sum of its proper divisors (37305631715).

137432305165 is a wasteful number, since it uses less digits than its factorization.

137432305165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093232.

The product of its (nonzero) digits is 226800, while the sum is 40.

Adding to 137432305165 its reverse (561503234731), we get a palindrome (698935539896).

The spelling of 137432305165 in words is "one hundred thirty-seven billion, four hundred thirty-two million, three hundred five thousand, one hundred sixty-five".

Divisors: 1 5 17 85 1481 7405 25177 125885 1091729 5458645 18559393 92796965 1616850649 8084253245 27486461033 137432305165