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135917126709 = 371337121311093
BaseRepresentation
bin111111010010101001…
…0101100010000110101
3110222211022001102111220
41332211102230100311
54211324241023314
6142234531420553
712551103341430
oct1764522542065
9428738042456
10135917126709
1152707746aa1
1222412454759
13ca80a45440
1468152a4817
15380757b3a9
hex1fa54ac435

135917126709 has 64 divisors (see below), whose sum is σ = 229281206784. Its totient is φ = 69691124736.

The previous prime is 135917126651. The next prime is 135917126729. The reversal of 135917126709 is 907621719531.

It is not a de Polignac number, because 135917126709 - 212 = 135917122613 is a prime.

It is a super-2 number, since 2×1359171267092 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135917126729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12246967 + ... + 12258059.

It is an arithmetic number, because the mean of its divisors is an integer number (3582518856).

Almost surely, 2135917126709 is an apocalyptic number.

It is an amenable number.

135917126709 is a deficient number, since it is larger than the sum of its proper divisors (93364080075).

135917126709 is a wasteful number, since it uses less digits than its factorization.

135917126709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12366.

The product of its (nonzero) digits is 714420, while the sum is 51.

The spelling of 135917126709 in words is "one hundred thirty-five billion, nine hundred seventeen million, one hundred twenty-six thousand, seven hundred nine".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1213 1443 3367 3639 8491 10101 11093 15769 25473 33279 44881 47307 77651 110383 134643 144209 232953 314167 331149 410441 432627 583453 942501 1009463 1231323 1750359 2873087 3028389 4084171 5335733 8619261 12252513 13455809 16007199 37350131 40367427 94190663 112050393 174925517 282571989 497864933 524776551 1224478619 1493594799 3485054531 3673435857 6472244129 10455163593 19416732387 45305708903 135917126709