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137899558119168 = 283278137765991
BaseRepresentation
bin11111010110101100111110…
…001011010010011100000000
3200002021001212022021110211200
4133112230332023102130000
5121033321243334303133
61205142103223541200
741021625413630136
oct3726547613223400
9602231768243750
10137899558119168
113aa3696858479a
1213571a36bba800
135bc3b45c53661
14260a534c33756
1510e213d5db913
hex7d6b3e2d2700

137899558119168 has 108 divisors (see below), whose sum is σ = 397604029678128. Its totient is φ = 45965871083520.

The previous prime is 137899558119101. The next prime is 137899558119173. The reversal of 137899558119168 is 861911855998731.

137899558119168 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 9 + 9 + 5 + 581 + 19 + 16 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179644653 + ... + 180410643.

It is an arithmetic number, because the mean of its divisors is an integer number (3681518793316).

Almost surely, 2137899558119168 is an apocalyptic number.

137899558119168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137899558119168 is an abundant number, since it is smaller than the sum of its proper divisors (259704471558960).

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

137899558119168 is an equidigital number, since it uses as much as digits as its factorization.

137899558119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844150 (or 844133 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 81.

The spelling of 137899558119168 in words is "one hundred thirty-seven trillion, eight hundred ninety-nine billion, five hundred fifty-eight million, one hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 78137 156274 234411 312548 468822 625096 703233 765991 937644 1250192 1406466 1531982 1875288 2297973 2500384 2812932 3063964 3750576 4595946 5000768 5625864 6127928 6893919 7501152 9191892 10001536 11251728 12255856 13787838 15002304 18383784 20003072 22503456 24511712 27575676 30004608 36767568 45006912 49023424 55151352 60009216 73535136 90013824 98046848 110302704 147070272 180027648 196093696 220605408 294140544 441210816 588281088 882421632 1764843264 59852238767 119704477534 179556716301 239408955068 359113432602 478817910136 538670148903 718226865204 957635820272 1077340297806 1436453730408 1915271640544 2154680595612 2872907460816 3830543281088 4309361191224 5745814921632 7661086562176 8618722382448 11491629843264 15322173124352 17237444764896 22983259686528 34474889529792 45966519373056 68949779059584 137899558119168