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135145066665516 = 22329617198854463
BaseRepresentation
bin11110101110100111101001…
…101100010001011000101100
3122201111202001001122120101120
4132232213221230101120230
5120203204044031244031
61155232441520340540
740315623510605535
oct3656475154213054
9581452031576346
10135145066665516
113a0747789a96a6
12131a8029474750
135a54181b0bb6b
1425530b002968c
151095677710a96
hex7ae9e9b1162c

135145066665516 has 96 divisors (see below), whose sum is σ = 332021149286400. Its totient is φ = 42722424971520.

The previous prime is 135145066665481. The next prime is 135145066665559. The reversal of 135145066665516 is 615566660541531.

It is a self number, because there is not a number n which added to its sum of digits gives 135145066665516.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10835701 + ... + 19690163.

It is an arithmetic number, because the mean of its divisors is an integer number (3458553638400).

Almost surely, 2135145066665516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135145066665516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166010574643200).

135145066665516 is an abundant number, since it is smaller than the sum of its proper divisors (196876082620884).

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

135145066665516 is a wasteful number, since it uses less digits than its factorization.

135145066665516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8855279 (or 8855277 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 60.

The spelling of 135145066665516 in words is "one hundred thirty-five trillion, one hundred forty-five billion, sixty-six million, six hundred sixty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 719 732 1438 1769 2157 2876 3538 4314 5307 7076 8628 10614 20851 21228 41702 43859 62553 83404 87718 125106 131577 175436 250212 263154 526308 1271911 2543822 3815733 5087644 7631466 8854463 15262932 17708926 26563389 35417852 53126778 106253556 256779427 513558854 540122243 770338281 1027117708 1080244486 1540676562 1620366729 2160488972 3081353124 3240733458 6366358897 6481466916 12732717794 15663545047 19099076691 25465435588 31327090094 38198153382 46990635141 62654180188 76396306764 93981270282 184624408013 187962540564 369248816026 388347892717 553873224039 738497632052 776695785434 1107746448078 1165043678151 1553391570868 2215492896156 2330087356302 4660174712604 11262088888793 22524177777586 33786266666379 45048355555172 67572533332758 135145066665516