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136156441560 = 233571123712919
BaseRepresentation
bin111111011001110001…
…1100110101111011000
3111000102222100212202220
41332303203212233120
54212322022112220
6142314401024040
712560040441366
oct1766343465730
9430388325686
10136156441560
115281a841867
122247a625020
13cabb4b6469
146838d9c636
15381d59e540
hex1fb38e6bd8

136156441560 has 128 divisors (see below), whose sum is σ = 414589363200. Its totient is φ = 35765291520.

The previous prime is 136156441537. The next prime is 136156441571. The reversal of 136156441560 is 65144651631.

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 31 ways as a sum of consecutive naturals, for example, 10532781 + ... + 10545699.

It is an arithmetic number, because the mean of its divisors is an integer number (3238979400).

Almost surely, 2136156441560 is an apocalyptic number.

136156441560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136156441560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207294681600).

136156441560 is an abundant number, since it is smaller than the sum of its proper divisors (278432921640).

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

136156441560 is a wasteful number, since it uses less digits than its factorization.

136156441560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14241 (or 14237 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 136156441560 in words is "one hundred thirty-six billion, one hundred fifty-six million, four hundred forty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1237 1420 1704 2130 2474 2840 3711 4260 4948 6185 7422 8520 9896 12370 12919 14844 18555 24740 25838 29688 37110 38757 49480 51676 64595 74220 77514 87827 103352 129190 148440 155028 175654 193785 258380 263481 310056 351308 387570 439135 516760 526962 702616 775140 878270 917249 1053924 1317405 1550280 1756540 1834498 2107848 2634810 2751747 3513080 3668996 4586245 5269620 5503494 7337992 9172490 10539240 11006988 13758735 15980803 18344980 22013976 27517470 31961606 36689960 47942409 55034940 63923212 79904015 95884818 110069880 127846424 159808030 191769636 239712045 319616060 383539272 479424090 639232120 958848180 1134637013 1917696360 2269274026 3403911039 4538548052 5673185065 6807822078 9077096104 11346370130 13615644156 17019555195 22692740260 27231288312 34039110390 45385480520 68078220780 136156441560