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135354051540 = 22335389644359
BaseRepresentation
bin111111000001110111…
…0101110101111010100
3110221101001112020121000
41332003232232233110
54204201114122130
6142103015023300
712531125312031
oct1760356565724
9427331466530
10135354051540
1152448919314
122229596ab30
13c9c11a7776
1467a05b0388
1537c2e04260
hex1f83baebd4

135354051540 has 96 divisors (see below), whose sum is σ = 422184672000. Its totient is φ = 36001570176.

The previous prime is 135354051529. The next prime is 135354051551. The reversal of 135354051540 is 45150453531.

135354051540 is a `hidden beast` number, since 1 + 3 + 53 + 54 + 0 + 515 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (135354051529) and next prime (135354051551).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135354051495 and 135354051504.

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, 112120 + ... + 532239.

It is an arithmetic number, because the mean of its divisors is an integer number (4397757000).

Almost surely, 2135354051540 is an apocalyptic number.

135354051540 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 135354051540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211092336000).

135354051540 is an abundant number, since it is smaller than the sum of its proper divisors (286830620460).

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

135354051540 is a wasteful number, since it uses less digits than its factorization.

135354051540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644766 (or 644758 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 135354051540 in words is "one hundred thirty-five billion, three hundred fifty-four million, fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 389 540 778 1167 1556 1945 2334 3501 3890 4668 5835 7002 7780 10503 11670 14004 17505 21006 23340 35010 42012 52515 70020 105030 210060 644359 1288718 1933077 2577436 3221795 3866154 5799231 6443590 7732308 9665385 11598462 12887180 17397693 19330770 23196924 28996155 34795386 38661540 57992310 69590772 86988465 115984620 173976930 250655651 347953860 501311302 751966953 1002622604 1253278255 1503933906 2255900859 2506556510 3007867812 3759834765 4511801718 5013113020 6767702577 7519669530 9023603436 11279504295 13535405154 15039339060 22559008590 27070810308 33838512885 45118017180 67677025770 135354051540