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135111663616 = 21343537237
BaseRepresentation
bin111110111010101001…
…0000110000000000000
3110220202011102122212111
41331311102012000000
54203202041213431
6142022555505104
712522123122506
oct1756522060000
9426664378774
10135111663616
1152334014716
1222228758194
13c982bcba67
14677a316676
1537ab9c57b1
hex1f75486000

135111663616 has 112 divisors (see below), whose sum is σ = 281746445904. Its totient is φ = 64730824704.

The previous prime is 135111663587. The next prime is 135111663679. The reversal of 135111663616 is 616366111531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18665950 + ... + 18673186.

It is an arithmetic number, because the mean of its divisors is an integer number (2515593267).

Almost surely, 2135111663616 is an apocalyptic number.

135111663616 is a gapful number since it is divisible by the number (16) 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 135111663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140873222952).

135111663616 is an abundant number, since it is smaller than the sum of its proper divisors (146634782288).

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

135111663616 is an frugal number, since it uses more digits than its factorization.

135111663616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359 (or 7335 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The spelling of 135111663616 in words is "one hundred thirty-five billion, one hundred eleven million, six hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 128 172 212 256 344 424 512 688 848 1024 1376 1696 2048 2279 2752 3392 4096 4558 5504 6784 7237 8192 9116 11008 13568 14474 18232 22016 27136 28948 36464 44032 54272 57896 72928 88064 108544 115792 145856 176128 217088 231584 291712 311191 352256 383561 434176 463168 583424 622382 767122 926336 1166848 1244764 1534244 1852672 2333696 2489528 3068488 3705344 4667392 4979056 6136976 7410688 9334784 9958112 12273952 14821376 16493123 18669568 19916224 24547904 29642752 32986246 39832448 49095808 59285504 65972492 79664896 98191616 131944984 159329792 196383232 263889968 318659584 392766464 527779936 637319168 785532928 1055559872 1274638336 1571065856 2111119744 2549276672 3142131712 4222239488 8444478976 16888957952 33777915904 67555831808 135111663616