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136886655360 = 273571331127199
BaseRepresentation
bin111111101111100010…
…1001001100110000000
3111002022212101120210110
41333133011021212000
54220320440432420
6142515044031320
712614115241530
oct1773705114600
9432285346713
10136886655360
1153064a48244
1222643092540
13cba6873c30
1468a7d5d4c0
15386273dee0
hex1fdf149980

136886655360 has 1024 divisors, whose sum is σ = 561512448000. Its totient is φ = 27590492160.

The previous prime is 136886655343. The next prime is 136886655361. The reversal of 136886655360 is 63556688631.

It is a super-4 number, since 4×1368866553604 (a number of 46 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136886655360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136886655361) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 687872541 + ... + 687872739.

It is an arithmetic number, because the mean of its divisors is an integer number (548352000).

Almost surely, 2136886655360 is an apocalyptic number.

136886655360 is a gapful number since it is divisible by the number (10) 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 136886655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280756224000).

136886655360 is an abundant number, since it is smaller than the sum of its proper divisors (424625792640).

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

136886655360 is a wasteful number, since it uses less digits than its factorization.

136886655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 136886655360 in words is "one hundred thirty-six billion, eight hundred eighty-six million, six hundred fifty-five thousand, three hundred sixty".