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137157655560 = 23354341963439
BaseRepresentation
bin111111110111100111…
…0111011110000001000
3111010000202022211011220
41333233032323300020
54221344324434220
6143002004322040
712623615556552
oct1775716736010
9433022284156
10137157655560
1153193a14752
12226b99a3320
13cc1aa5a093
1468d1d444d2
15387b420540
hex1fef3bbc08

137157655560 has 128 divisors (see below), whose sum is σ = 422053632000. Its totient is φ = 35638960896.

The previous prime is 137157655549. The next prime is 137157655571. The reversal of 137157655560 is 65556751731.

It is an interprime number because it is at equal distance from previous prime (137157655549) and next prime (137157655571).

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, 2130321 + ... + 2193759.

It is an arithmetic number, because the mean of its divisors is an integer number (3297294000).

Almost surely, 2137157655560 is an apocalyptic number.

137157655560 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 137157655560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211026816000).

137157655560 is an abundant number, since it is smaller than the sum of its proper divisors (284895976440).

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

137157655560 is a wasteful number, since it uses less digits than its factorization.

137157655560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63915 (or 63911 counting only the distinct ones).

The product of its (nonzero) digits is 3307500, while the sum is 51.

The spelling of 137157655560 in words is "one hundred thirty-seven billion, one hundred fifty-seven million, six hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 419 430 516 645 838 860 1032 1257 1290 1676 1720 2095 2514 2580 3352 4190 5028 5160 6285 8380 10056 12570 16760 18017 25140 36034 50280 54051 63439 72068 90085 108102 126878 144136 180170 190317 216204 253756 270255 317195 360340 380634 432408 507512 540510 634390 720680 761268 951585 1081020 1268780 1522536 1903170 2162040 2537560 2727877 3806340 5455754 7612680 8183631 10911508 13639385 16367262 21823016 26580941 27278770 32734524 40918155 53161882 54557540 65469048 79742823 81836310 106323764 109115080 132904705 159485646 163672620 212647528 265809410 318971292 327345240 398714115 531618820 637942584 797428230 1063237640 1142980463 1594856460 2285960926 3189712920 3428941389 4571921852 5714902315 6857882778 9143843704 11429804630 13715765556 17144706945 22859609260 27431531112 34289413890 45719218520 68578827780 137157655560