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135080854632 = 2334432112741
BaseRepresentation
bin111110111001101110…
…0100100010001101000
3110220200000110101220000
41331303130210101220
54203121144322012
6142015535303000
712521300214423
oct1756334442150
9426600411800
10135080854632
1152318691449
122221a37aa60
13c9797027a9
1467761b69ba
1537a8e3bddc
hex1f73724468

135080854632 has 120 divisors (see below), whose sum is σ = 387358399890. Its totient is φ = 43979423040.

The previous prime is 135080854627. The next prime is 135080854681. The reversal of 135080854632 is 236458080531.

135080854632 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 8 + 0 + 8 + 5 + 4 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115454525796 + 19626328836 = 339786^2 + 140094^2 .

It is a super-2 number, since 2×1350808546322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1141782 + ... + 1254522.

Almost surely, 2135080854632 is an apocalyptic number.

135080854632 is a gapful number since it is divisible by the number (12) 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 135080854632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193679199945).

135080854632 is an abundant number, since it is smaller than the sum of its proper divisors (252277545258).

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

135080854632 is a wasteful number, since it uses less digits than its factorization.

135080854632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112845 (or 112789 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 135080854632 in words is "one hundred thirty-five billion, eighty million, eight hundred fifty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 516 648 774 1032 1161 1548 1849 2322 3096 3483 3698 4644 5547 6966 7396 9288 11094 13932 14792 16641 22188 27864 33282 44376 49923 66564 99846 112741 133128 149769 199692 225482 299538 338223 399384 450964 599076 676446 901928 1014669 1198152 1352892 2029338 2705784 3044007 4058676 4847863 6088014 8117352 9132021 9695726 12176028 14543589 18264042 19391452 24352056 29087178 36528084 38782904 43630767 58174356 73056168 87261534 116348712 130892301 174523068 208458109 261784602 349046136 392676903 416916218 523569204 625374327 785353806 833832436 1047138408 1250748654 1570707612 1667664872 1876122981 2501497308 3141415224 3752245962 5002994616 5628368943 7504491924 11256737886 15008983848 16885106829 22513475772 33770213658 45026951544 67540427316 135080854632