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136142012640 = 2535299780317
BaseRepresentation
bin111111011001010110…
…0100100000011100000
3111000101222012211000110
41332302230210003200
54212304323401030
6142313123451320
712556504004514
oct1766254440340
9430358184013
10136142012640
1152812687137
1222475826b40
13cab8503a3a
1468370c4144
15381c19e1b0
hex1fb2b240e0

136142012640 has 96 divisors (see below), whose sum is σ = 443635224480. Its totient is φ = 35052652544.

The previous prime is 136142012627. The next prime is 136142012641. The reversal of 136142012640 is 46210241631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 136142012598 and 136142012607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136142012641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4876239 + ... + 4904078.

It is an arithmetic number, because the mean of its divisors is an integer number (4621200255).

Almost surely, 2136142012640 is an apocalyptic number.

136142012640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136142012640 is an abundant number, since it is smaller than the sum of its proper divisors (307493211840).

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

136142012640 is a wasteful number, since it uses less digits than its factorization.

136142012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9780364 (or 9780356 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 136142012640 in words is "one hundred thirty-six billion, one hundred forty-two million, twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 9780317 19560634 29340951 39121268 48901585 58681902 78242536 97803170 117363804 146704755 156485072 195606340 234727608 283629193 293409510 312970144 391212680 469455216 567258386 586819020 782425360 850887579 938910432 1134516772 1173638040 1418145965 1564850720 1701775158 2269033544 2347276080 2836291930 3403550316 4254437895 4538067088 4694552160 5672583860 6807100632 8508875790 9076134176 11345167720 13614201264 17017751580 22690335440 27228402528 34035503160 45380670880 68071006320 136142012640