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135554304343000 = 23532691637307831
BaseRepresentation
bin11110110100100100110010…
…001010000111101111011000
3122202221212100112112120121111
4132310210302022013233120
5120231410203402434000
61200144442052150104
740360322012511064
oct3664446212075730
9582855315476544
10135554304343000
113a2122919a98a4
12132533ba308334
135a8394021714a
142568c12dd2aa4
1510a112a0d3cba
hex7b4932287bd8

135554304343000 has 128 divisors (see below), whose sum is σ = 318571765948800. Its totient is φ = 53986979136000.

The previous prime is 135554304342973. The next prime is 135554304343019. The reversal of 135554304343000 is 343403455531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 440199085 + ... + 440506915.

It is an arithmetic number, because the mean of its divisors is an integer number (2488841921475).

Almost surely, 2135554304343000 is an apocalyptic number.

135554304343000 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 135554304343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159285882974400).

135554304343000 is an abundant number, since it is smaller than the sum of its proper divisors (183017461605800).

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

135554304343000 is a wasteful number, since it uses less digits than its factorization.

135554304343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309758 (or 309744 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 135554304343000 its reverse (343403455531), we get a palindrome (135897707798531).

The spelling of 135554304343000 in words is "one hundred thirty-five trillion, five hundred fifty-four billion, three hundred four million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 269 500 538 1000 1076 1345 1637 2152 2690 3274 5380 6548 6725 8185 10760 13096 13450 16370 26900 32740 33625 40925 53800 65480 67250 81850 134500 163700 204625 269000 307831 327400 409250 440353 615662 818500 880706 1231324 1539155 1637000 1761412 2201765 2462648 3078310 3522824 4403530 6156620 7695775 8807060 11008825 12313240 15391550 17614120 22017650 30783100 38478875 44035300 55044125 61566200 76957750 82806539 88070600 110088250 153915500 165613078 220176500 307831000 331226156 414032695 440353000 503919347 662452312 828065390 1007838694 1656130780 2015677388 2070163475 2519596735 3312261560 4031354776 4140326950 5039193470 8280653900 10078386940 10350817375 12597983675 16561307800 20156773880 20701634750 25195967350 41403269500 50391934700 62989918375 82806539000 100783869400 125979836750 135554304343 251959673500 271108608686 503919347000 542217217372 677771521715 1084434434744 1355543043430 2711086086860 3388857608575 5422172173720 6777715217150 13555430434300 16944288042875 27110860868600 33888576085750 67777152171500 135554304343000