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136127563440 = 24351151563471
BaseRepresentation
bin111111011000111010…
…1011100011010110000
3111000100222000201102220
41332301311130122300
54212242124012230
6142311450041040
712556240124541
oct1766165343260
9430328021386
10136127563440
1152805508250
1222470a19180
13cab551500b
1468352024c8
15381ac97d10
hex1fb1d5c6b0

136127563440 has 80 divisors (see below), whose sum is σ = 460358678016. Its totient is φ = 33000620800.

The previous prime is 136127563423. The next prime is 136127563447. The reversal of 136127563440 is 44365721631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1361275634402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136127563392 and 136127563401.

It is not an unprimeable number, because it can be changed into a prime (136127563447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25779096 + ... + 25784375.

Almost surely, 2136127563440 is an apocalyptic number.

136127563440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136127563440 is an abundant number, since it is smaller than the sum of its proper divisors (324231114576).

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

136127563440 is a wasteful number, since it uses less digits than its factorization.

136127563440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51563498 (or 51563492 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 136127563440 in words is "one hundred thirty-six billion, one hundred twenty-seven million, five hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 51563471 103126942 154690413 206253884 257817355 309380826 412507768 515634710 567198181 618761652 773452065 825015536 1031269420 1134396362 1237523304 1546904130 1701594543 2062538840 2268792724 2475046608 2835990905 3093808260 3403189086 4125077680 4537585448 5671981810 6187616520 6806378172 8507972715 9075170896 11343963620 12375233040 13612756344 17015945430 22687927240 27225512688 34031890860 45375854480 68063781720 136127563440