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135223526112 = 25323211290249
BaseRepresentation
bin111110111101111110…
…0110100001011100000
3110221000221220212100220
41331323330310023200
54203414210313422
6142042033243040
712524652002313
oct1757374641340
9427027825326
10135223526112
1152391178664
122225a103480
13c9a0136a9c
14678b11497a
1537b671ee5c
hex1f7bf342e0

135223526112 has 96 divisors (see below), whose sum is σ = 372151584000. Its totient is φ = 42910264320.

The previous prime is 135223526077. The next prime is 135223526117. The reversal of 135223526112 is 211625322531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135223526117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320764 + ... + 611012.

It is an arithmetic number, because the mean of its divisors is an integer number (3876579000).

Almost surely, 2135223526112 is an apocalyptic number.

135223526112 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 135223526112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186075792000).

135223526112 is an abundant number, since it is smaller than the sum of its proper divisors (236928057888).

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

135223526112 is a wasteful number, since it uses less digits than its factorization.

135223526112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290496 (or 290488 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

Adding to 135223526112 its reverse (211625322531), we get a palindrome (346848848643).

The spelling of 135223526112 in words is "one hundred thirty-five billion, two hundred twenty-three million, five hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 211 276 368 422 552 633 736 844 1104 1266 1688 2208 2532 3376 4853 5064 6752 9706 10128 14559 19412 20256 29118 38824 58236 77648 116472 155296 232944 290249 465888 580498 870747 1160996 1741494 2321992 3482988 4643984 6675727 6965976 9287968 13351454 13931952 20027181 26702908 27863904 40054362 53405816 61242539 80108724 106811632 122485078 160217448 183727617 213623264 244970156 320434896 367455234 489940312 640869792 734910468 979880624 1408578397 1469820936 1959761248 2817156794 2939641872 4225735191 5634313588 5879283744 8451470382 11268627176 16902940764 22537254352 33805881528 45074508704 67611763056 135223526112