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135942639616 = 212728232
BaseRepresentation
bin111111010011011010…
…0000001000000000000
3110222220002001121122101
41332212310001000000
54211402303431431
6142241242320144
712551533241200
oct1764664010000
9428802047571
10135942639616
1152720092243
122241aab9054
13ca86108c34
146818826400
15380991a961
hex1fa6d01000

135942639616 has 117 divisors (see below), whose sum is σ = 316620819711. Its totient is φ = 58190340096.

The previous prime is 135942639587. The next prime is 135942639631. The reversal of 135942639616 is 616936249531.

The square root of 135942639616 is 368704.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165178981 + ... + 165179803.

Almost surely, 2135942639616 is an apocalyptic number.

135942639616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135942639616 is the 368704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135942639616

135942639616 is an abundant number, since it is smaller than the sum of its proper divisors (180678180095).

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

135942639616 is an frugal number, since it uses more digits than its factorization.

135942639616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 832 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 55.

The spelling of 135942639616 in words is "one hundred thirty-five billion, nine hundred forty-two million, six hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 823 896 1024 1568 1646 1792 2048 3136 3292 3584 4096 5761 6272 6584 7168 11522 12544 13168 14336 23044 25088 26336 28672 40327 46088 50176 52672 80654 92176 100352 105344 161308 184352 200704 210688 322616 368704 421376 645232 677329 737408 842752 1290464 1354658 1474816 1685504 2580928 2709316 2949632 3371008 4741303 5161856 5418632 5899264 9482606 10323712 10837264 11798528 18965212 20647424 21674528 23597056 33189121 37930424 41294848 43349056 66378242 75860848 82589696 86698112 132756484 151721696 165179392 173396224 265512968 303443392 346792448 531025936 606886784 693584896 1062051872 1213773568 1387169792 2124103744 2427547136 2774339584 4248207488 4855094272 8496414976 9710188544 16992829952 19420377088 33985659904 67971319808 135942639616