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134137487456 = 257323531347
BaseRepresentation
bin111110011101100110…
…1111010000001100000
3110211020021100101101222
41330323031322001200
54144203144044311
6141342155514212
712456023555000
oct1747315720140
9424207311358
10134137487456
1151984129755
1221bb6458968
13c859133a6b
1466c6bac000
1537511e5adb
hex1f3b37a060

134137487456 has 96 divisors (see below), whose sum is σ = 321359270400. Its totient is φ = 54987934848.

The previous prime is 134137487437. The next prime is 134137487461. The reversal of 134137487456 is 654784731431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 134137487398 and 134137487407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13226 + ... + 518121.

It is an arithmetic number, because the mean of its divisors is an integer number (3347492400).

Almost surely, 2134137487456 is an apocalyptic number.

134137487456 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 134137487456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160679635200).

134137487456 is an abundant number, since it is smaller than the sum of its proper divisors (187221782944).

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

134137487456 is an equidigital number, since it uses as much as digits as its factorization.

134137487456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531401 (or 531379 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 53.

The spelling of 134137487456 in words is "one hundred thirty-four billion, one hundred thirty-seven million, four hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 343 368 392 644 686 736 784 1127 1288 1372 1568 2254 2576 2744 4508 5152 5488 7889 9016 10976 15778 18032 31556 36064 63112 126224 252448 531347 1062694 2125388 3719429 4250776 7438858 8501552 12220981 14877716 17003104 24441962 26036003 29755432 48883924 52072006 59510864 85546867 97767848 104144012 119021728 171093734 182252021 195535696 208288024 342187468 364504042 391071392 416576048 598828069 684374936 729008084 833152096 1197656138 1368749872 1458016168 2395312276 2737499744 2916032336 4191796483 4790624552 5832064672 8383592966 9581249104 16767185932 19162498208 33534371864 67068743728 134137487456