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148402836123135 = 351123229436339139
BaseRepresentation
bin100001101111100010111010…
…010101001010110111111111
3201110110011122210212021222220
4201233202322111022313333
5123422413002021420020
61243343153255140423
743154515423615026
oct4157427225126777
9643404583767886
10148402836123135
11433163201570a0
1214789569674713
1364a64343aa159
142890a426778bd
151225471d1d240
hex86f8ba54adff

148402836123135 has 128 divisors (see below), whose sum is σ = 271542072729600. Its totient is φ = 68506503943680.

The previous prime is 148402836123133. The next prime is 148402836123161. The reversal of 148402836123135 is 531321638204841.

It is not a de Polignac number, because 148402836123135 - 21 = 148402836123133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148402836123133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3791667396 + ... + 3791706534.

It is an arithmetic number, because the mean of its divisors is an integer number (2121422443200).

Almost surely, 2148402836123135 is an apocalyptic number.

148402836123135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

148402836123135 is a deficient number, since it is larger than the sum of its proper divisors (123139236606465).

148402836123135 is a wasteful number, since it uses less digits than its factorization.

148402836123135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43773.

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 148402836123135 in words is "one hundred forty-eight trillion, four hundred two billion, eight hundred thirty-six million, one hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 23 33 55 69 115 165 229 253 345 687 759 1145 1265 2519 3435 3795 4363 5267 7557 12595 13089 15801 21815 26335 37785 39139 47993 57937 65445 79005 100349 117417 143979 173811 195695 239965 289685 301047 430529 501745 587085 719895 869055 900197 999127 1103839 1291587 1505235 2152645 2700591 2997381 3311517 4500985 4995635 5519195 6457935 8962831 9902167 10990397 13502955 14986905 16557585 22979921 26888493 29706501 32971191 44814155 49510835 54951985 68939763 98591141 114899605 134442465 148532505 164855955 170763457 206145113 252779131 295773423 344698815 492955705 512290371 618435339 758337393 853817285 1030725565 1263895655 1478867115 1878398027 2267596243 2561451855 3092176695 3791686965 3927559511 5635194081 6802788729 9391990135 11337981215 11782678533 19637797555 28175970405 34013943645 39104831653 43203154621 58913392665 117314494959 129609463863 195524158265 216015773105 430153148183 586572474795 648047319315 899411128019 1290459444549 2150765740915 2698233384057 4497055640095 6452297222745 9893522408209 13491166920285 29680567224627 49467612041045 148402836123135