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136752135360 = 2635142450141
BaseRepresentation
bin111111101011100001…
…1111111110011000000
3111001222111021021001020
41333113003333303000
54220032021312420
6142453440505440
712610562654121
oct1772703776300
9431874237036
10136752135360
1152aa6019395
122260601b280
13cb84a34cb9
146894144048
153855a1b340
hex1fd70ffcc0

136752135360 has 56 divisors (see below), whose sum is σ = 434188032816. Its totient is φ = 36467235840.

The previous prime is 136752135343. The next prime is 136752135361. The reversal of 136752135360 is 63531257631.

It is a super-2 number, since 2×1367521353602 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (136752135361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71224111 + ... + 71226030.

Almost surely, 2136752135360 is an apocalyptic number.

136752135360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136752135360 is an abundant number, since it is smaller than the sum of its proper divisors (297435897456).

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

136752135360 is a wasteful number, since it uses less digits than its factorization.

136752135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142450161 (or 142450151 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 136752135360 in words is "one hundred thirty-six billion, seven hundred fifty-two million, one hundred thirty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 142450141 284900282 427350423 569800564 712250705 854700846 1139601128 1424501410 1709401692 2136752115 2279202256 2849002820 3418803384 4273504230 4558404512 5698005640 6837606768 8547008460 9116809024 11396011280 13675213536 17094016920 22792022560 27350427072 34188033840 45584045120 68376067680 136752135360