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135639307461 = 371931791271093
BaseRepresentation
bin111111001010010111…
…0111001010011000101
3110222002221021202011010
41332110232321103011
54210242130314321
6142151205032433
712541161042660
oct1762456712305
9428087252133
10135639307461
1152584942309
12223553b5719
13ca38312558
1467ca4266d7
1537dce9e676
hex1f94bb94c5

135639307461 has 128 divisors (see below), whose sum is σ = 229428428800. Its totient is φ = 69544500480.

The previous prime is 135639307429. The next prime is 135639307469. The reversal of 135639307461 is 164703936531.

It is not a de Polignac number, because 135639307461 - 25 = 135639307429 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135639307461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135639307469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124097631 + ... + 124098723.

It is an arithmetic number, because the mean of its divisors is an integer number (1792409600).

Almost surely, 2135639307461 is an apocalyptic number.

It is an amenable number.

135639307461 is a deficient number, since it is larger than the sum of its proper divisors (93789121339).

135639307461 is a wasteful number, since it uses less digits than its factorization.

135639307461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359.

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 135639307461 in words is "one hundred thirty-five billion, six hundred thirty-nine million, three hundred seven thousand, four hundred sixty-one".

Divisors: 1 3 7 19 21 31 57 79 93 127 133 217 237 381 399 553 589 651 889 1093 1501 1659 1767 2413 2449 2667 3279 3937 4123 4503 7239 7347 7651 10033 10507 11811 12369 16891 17143 20767 22953 27559 30099 31521 33883 46531 50673 51429 62301 70231 74803 82677 86347 101649 138811 139593 145369 190627 210693 224409 237181 259041 311023 325717 416433 436107 523621 571881 604429 643777 711543 933069 971677 977151 1334389 1570863 1640593 1813287 1931331 2177161 2637409 2676757 2915031 4003167 4303141 4506439 4921779 5909437 6531483 7912227 8030271 10966069 11484151 12909423 13519317 17728311 18461863 18737299 30121987 32898207 34452453 41366059 50858383 55385589 56211897 76762483 81759679 90365961 124098177 152575149 208355311 230287449 245279037 339948139 356008681 572317753 625065933 1019844417 1068026043 1458487177 1716953259 2379636973 4375461531 6459014641 7138910919 19377043923 45213102487 135639307461