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135150614432340 = 223513173270018503
BaseRepresentation
bin11110101110101100110100…
…010111010100101001010100
3122201112021100200202022202220
4132232230310113110221110
5120203301424243313330
61155235200220302340
740316211134054043
oct3656546427245124
9581467320668686
10135150614432340
113a077065528a61
12131a91173a19b0
135a548572a8620
142553478b5855a
15109589e7b8710
hex7aeb345d4a54

135150614432340 has 48 divisors (see below), whose sum is σ = 407531083521408. Its totient is φ = 33267843552384.

The previous prime is 135150614432293. The next prime is 135150614432341. The reversal of 135150614432340 is 43234416051531.

It is a junction number, because it is equal to n+sod(n) for n = 135150614432292 and 135150614432301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135150614432341) 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, 86635008472 + ... + 86635010031.

It is an arithmetic number, because the mean of its divisors is an integer number (8490230906696).

Almost surely, 2135150614432340 is an apocalyptic number.

135150614432340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135150614432340 is an abundant number, since it is smaller than the sum of its proper divisors (272380469089068).

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

135150614432340 is a wasteful number, since it uses less digits than its factorization.

135150614432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173270018528 (or 173270018526 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 135150614432340 in words is "one hundred thirty-five trillion, one hundred fifty billion, six hundred fourteen million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 173270018503 346540037006 519810055509 693080074012 866350092515 1039620111018 1732700185030 2079240222036 2252510240539 2599050277545 3465400370060 4505020481078 5198100555090 6757530721617 9010040962156 10396201110180 11262551202695 13515061443234 22525102405390 27030122886468 33787653608085 45050204810780 67575307216170 135150614432340