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135551555152 = 241321932111231
BaseRepresentation
bin111111000111110000…
…0001001011001010000
3110221212211011110121121
41332033200021121100
54210102144231102
6142134352132024
712536044131226
oct1761740113120
9427784143547
10135551555152
115253a356742
122232bb37014
13ca23099700
1467bc902b16
1537d5418b37
hex1f8f809650

135551555152 has 120 divisors (see below), whose sum is σ = 287449185408. Its totient is φ = 61892812800.

The previous prime is 135551555119. The next prime is 135551555159. The reversal of 135551555152 is 251555155531.

It is a junction number, because it is equal to n+sod(n) for n = 135551555099 and 135551555108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135551555159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110114377 + ... + 110115607.

Almost surely, 2135551555152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135551555152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143724592704).

135551555152 is an abundant number, since it is smaller than the sum of its proper divisors (151897630256).

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

135551555152 is a wasteful number, since it uses less digits than its factorization.

135551555152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1650 counting only the distinct ones).

The product of its digits is 468750, while the sum is 43.

The spelling of 135551555152 in words is "one hundred thirty-five billion, five hundred fifty-one million, five hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 193 208 211 338 386 422 676 772 844 1231 1352 1544 1688 2462 2509 2704 2743 3088 3376 4924 5018 5486 9848 10036 10972 16003 19696 20072 21944 32006 32617 35659 40144 40723 43888 64012 65234 71318 81446 128024 130468 142636 162892 208039 237583 256048 259741 260936 285272 325784 416078 475166 519482 521872 529399 570544 651568 832156 950332 1038964 1058798 1664312 1900664 2077928 2117596 3088579 3328624 3376633 3801328 4155856 4235192 6177158 6753266 6882187 8470384 12354316 13506532 13764374 24708632 27013064 27528748 40151527 43896229 49417264 50130013 54026128 55057496 80303054 87792458 100260026 110114992 160606108 175584916 200520052 321212216 351169832 401040104 642424432 651690169 702339664 802080208 1303380338 2606760676 5213521352 8471972197 10427042704 16943944394 33887888788 67775777576 135551555152