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131539379166 = 233132340919919
BaseRepresentation
bin111101010000001011…
…0111010001111011110
3110120112012112210212000
41322200112322033132
54123343040113131
6140232305223130
712334445163156
oct1724026721736
9416465483760
10131539379166
1150870606518
12215b0331aa6
13c533aa3b90
14651badd766
15364d08ace6
hex1ea05ba3de

131539379166 has 128 divisors (see below), whose sum is σ = 329301504000. Its totient is φ = 38617337088.

The previous prime is 131539379141. The next prime is 131539379171. The reversal of 131539379166 is 661973935131.

It is a happy number.

131539379166 is a `hidden beast` number, since 1 + 31 + 539 + 3 + 79 + 1 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6593755 + ... + 6613673.

It is an arithmetic number, because the mean of its divisors is an integer number (2572668000).

Almost surely, 2131539379166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131539379166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164650752000).

131539379166 is an abundant number, since it is smaller than the sum of its proper divisors (197762124834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131539379166 is a wasteful number, since it uses less digits than its factorization.

131539379166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20375 (or 20369 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The spelling of 131539379166 in words is "one hundred thirty-one billion, five hundred thirty-nine million, three hundred seventy-nine thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 409 414 598 621 702 818 897 1227 1242 1794 2454 2691 3681 5317 5382 7362 8073 9407 10634 11043 15951 16146 18814 19919 22086 28221 31902 39838 47853 56442 59757 84663 95706 119514 122291 143559 169326 179271 244582 253989 258947 287118 358542 366873 458137 507978 517894 537813 733746 776841 916274 1075626 1100619 1374411 1553682 2201238 2330523 2748822 3301857 4123233 4661046 5955781 6603714 6991569 8146871 8246466 11911562 12369699 13983138 16293742 17867343 24440613 24739398 35734686 48881226 53602029 73321839 105909323 107204058 146643678 160806087 187378033 211818646 219965517 317727969 321612174 374756066 439931034 562134099 635455938 953183907 1124268198 1686402297 1906367814 2435914429 2859551721 3372804594 4871828858 5059206891 5719103442 7307743287 10118413782 14615486574 21923229861 43846459722 65769689583 131539379166