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137280063102 = 237134116736721
BaseRepresentation
bin111111111011010000…
…1111000011001111110
3111010100021122202202120
41333312201320121332
54222122144004402
6143022100103410
712626633166060
oct1776641703176
9433307582676
10137280063102
1153247020306
1222732994b66
13cc3a217a90
1469042c9730
15388704e3bc
hex1ff687867e

137280063102 has 128 divisors (see below), whose sum is σ = 348244420608. Its totient is φ = 35110195200.

The previous prime is 137280063079. The next prime is 137280063119. The reversal of 137280063102 is 201360082731.

137280063102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3720102 + ... + 3756822.

It is an arithmetic number, because the mean of its divisors is an integer number (2720659536).

Almost surely, 2137280063102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137280063102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174122210304).

137280063102 is an abundant number, since it is smaller than the sum of its proper divisors (210964357506).

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

137280063102 is a wasteful number, since it uses less digits than its factorization.

137280063102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36954.

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 137280063102 in words is "one hundred thirty-seven billion, two hundred eighty million, sixty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 167 182 246 273 287 334 501 533 546 574 861 1002 1066 1169 1599 1722 2171 2338 3198 3507 3731 4342 6513 6847 7014 7462 11193 13026 13694 15197 20541 22386 30394 36721 41082 45591 47929 73442 89011 91182 95858 110163 143787 178022 220326 257047 267033 287574 477373 514094 534066 623077 771141 954746 1246154 1432119 1505561 1542282 1869231 2864238 3011122 3341611 3738462 4516683 6132407 6683222 9033366 10024833 10538927 12264814 18397221 19572293 20049666 21077854 31616781 36794442 39144586 42926849 58716879 63233562 79721291 85853698 117433758 128780547 137006051 159442582 239163873 251428687 257561094 274012102 411018153 478327746 502857374 558049037 754286061 822036306 1116098074 1508572122 1674147111 1760000809 3268572931 3348294222 3520001618 5280002427 6537145862 9805718793 10560004854 19611437586 22880010517 45760021034 68640031551 137280063102