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135787820556 = 223314359143879
BaseRepresentation
bin111111001110110010…
…1011011011000001100
3110222111021201222211010
41332131211123120030
54211043140224211
6142214032125220
712544643300523
oct1763545333014
9428437658733
10135787820556
1152650759403
1222397096810
13ca6001071b
1468020454ba
1537eb0384a6
hex1f9d95b60c

135787820556 has 96 divisors (see below), whose sum is σ = 340339507200. Its totient is φ = 42058416960.

The previous prime is 135787820549. The next prime is 135787820573. The reversal of 135787820556 is 655028787531.

It is a super-2 number, since 2×1357878205562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135787820496 and 135787820505.

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, 871825 + ... + 1015703.

It is an arithmetic number, because the mean of its divisors is an integer number (3545203200).

Almost surely, 2135787820556 is an apocalyptic number.

It is an amenable number.

135787820556 is an abundant number, since it is smaller than the sum of its proper divisors (204551686644).

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

135787820556 is a wasteful number, since it uses less digits than its factorization.

135787820556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144019 (or 144017 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 57.

The spelling of 135787820556 in words is "one hundred thirty-five billion, seven hundred eighty-seven million, eight hundred twenty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 31 43 59 62 86 93 118 124 129 172 177 186 236 258 354 372 516 708 1333 1829 2537 2666 3658 3999 5074 5332 5487 7316 7611 7998 10148 10974 15222 15996 21948 30444 78647 143879 157294 235941 287758 314588 431637 471882 575516 863274 943764 1726548 4460249 6186797 8488861 8920498 12373594 13380747 16977722 17840996 18560391 24747188 25466583 26761494 33955444 37120782 50933166 53522988 74241564 101866332 191790707 263154691 365021023 383581414 526309382 575372121 730042046 767162828 789464073 1052618764 1095063069 1150744242 1460084092 1578928146 2190126138 2301488484 3157856292 4380252276 11315651713 22631303426 33946955139 45262606852 67893910278 135787820556