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135223224552 = 233313113426163
BaseRepresentation
bin111110111101111101…
…1101010100011101000
3110221000221100112201000
41331323323222203220
54203414121141202
6142042022555000
712524646305163
oct1757373524350
9427027315630
10135223224552
1152390a92039
1222259b98a60
13c9a005c750
14678b076ada
1537b66b091c
hex1f7beea8e8

135223224552 has 128 divisors (see below), whose sum is σ = 408094646400. Its totient is φ = 41238844416.

The previous prime is 135223224551. The next prime is 135223224583. The reversal of 135223224552 is 255422322531.

It is a happy number.

135223224552 is a `hidden beast` number, since 1 + 3 + 52 + 2 + 32 + 24 + 552 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (135223224551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104223 + ... + 530385.

It is an arithmetic number, because the mean of its divisors is an integer number (3188239425).

Almost surely, 2135223224552 is an apocalyptic number.

135223224552 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 135223224552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204047323200).

135223224552 is an abundant number, since it is smaller than the sum of its proper divisors (272871421848).

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

135223224552 is a wasteful number, since it uses less digits than its factorization.

135223224552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426304 (or 426294 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 135223224552 in words is "one hundred thirty-five billion, two hundred twenty-three million, two hundred twenty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 113 117 156 216 226 234 312 339 351 452 468 678 702 904 936 1017 1356 1404 1469 2034 2712 2808 2938 3051 4068 4407 5876 6102 8136 8814 11752 12204 13221 17628 24408 26442 35256 39663 52884 79326 105768 158652 317304 426163 852326 1278489 1704652 2556978 3409304 3835467 5113956 5540119 7670934 10227912 11080238 11506401 15341868 16620357 22160476 23012802 30683736 33240714 44320952 46025604 48156419 49861071 66481428 92051208 96312838 99722142 132962856 144469257 149583213 192625676 199444284 288938514 299166426 385251352 398888568 433407771 577877028 598332852 626033447 866815542 1155754056 1196665704 1252066894 1300223313 1733631084 1878100341 2504133788 2600446626 3467262168 3756200682 5008267576 5200893252 5634301023 7512401364 10401786504 11268602046 15024802728 16902903069 22537204092 33805806138 45074408184 67611612276 135223224552