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136135667700 = 223252791914707
BaseRepresentation
bin111111011001001010…
…0010110111111110100
3111000101112021110101200
41332302110112333310
54212301212331300
6142312335452500
712556366040244
oct1766224267764
9430345243350
10136135667700
115280a04308a
1222473687130
13cab70c1a36
146836311b24
15381b849200
hex1fb2516ff4

136135667700 has 108 divisors (see below), whose sum is σ = 432111301440. Its totient is φ = 35843296320.

The previous prime is 136135667683. The next prime is 136135667729. The reversal of 136135667700 is 7766531631.

136135667700 is a `hidden beast` number, since 1 + 3 + 6 + 13 + 566 + 7 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 886254 + ... + 1028453.

Almost surely, 2136135667700 is an apocalyptic number.

136135667700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136135667700 is an abundant number, since it is smaller than the sum of its proper divisors (295975633740).

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

136135667700 is a wasteful number, since it uses less digits than its factorization.

136135667700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914806 (or 1914796 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 136135667700 in words is "one hundred thirty-six billion, one hundred thirty-five million, six hundred sixty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 79 90 100 150 158 180 225 237 300 316 395 450 474 711 790 900 948 1185 1422 1580 1975 2370 2844 3555 3950 4740 5925 7110 7900 11850 14220 17775 23700 35550 71100 1914707 3829414 5744121 7658828 9573535 11488242 17232363 19147070 22976484 28720605 34464726 38294140 47867675 57441210 68929452 86161815 95735350 114882420 143603025 151261853 172323630 191470700 287206050 302523706 344647260 430809075 453785559 574412100 605047412 756309265 861618150 907571118 1361356677 1512618530 1723236300 1815142236 2268927795 2722713354 3025237060 3781546325 4537855590 5445426708 6806783385 7563092650 9075711180 11344638975 13613566770 15126185300 22689277950 27227133540 34033916925 45378555900 68067833850 136135667700