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136809360 = 243251391367
BaseRepresentation
bin10000010011110…
…00101110010000
3100112102122011100
420021320232100
5240010344420
621324144400
73250601052
oct1011705620
9315378140
10136809360
1170252996
1239998100
1322460cac
14142538d2
15c026190
hex8278b90

136809360 has 120 divisors (see below), whose sum is σ = 463095360. Its totient is φ = 36193536.

The previous prime is 136809347. The next prime is 136809389. The reversal of 136809360 is 63908631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99397 + ... + 100763.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2136809360 is an apocalyptic number.

136809360 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 136809360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

136809360 is an abundant number, since it is smaller than the sum of its proper divisors (326286000).

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

136809360 is a wasteful number, since it uses less digits than its factorization.

136809360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 136809360 is about 11696.5533384839. The cubic root of 136809360 is about 515.2744444783.

The spelling of 136809360 in words is "one hundred thirty-six million, eight hundred nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 139 144 180 240 278 360 417 556 695 720 834 1112 1251 1367 1390 1668 2085 2224 2502 2734 2780 3336 4101 4170 5004 5468 5560 6255 6672 6835 8202 8340 10008 10936 11120 12303 12510 13670 16404 16680 20016 20505 21872 24606 25020 27340 32808 33360 41010 49212 50040 54680 61515 65616 82020 98424 100080 109360 123030 164040 190013 196848 246060 328080 380026 492120 570039 760052 950065 984240 1140078 1520104 1710117 1900130 2280156 2850195 3040208 3420234 3800260 4560312 5700390 6840468 7600520 8550585 9120624 11400780 13680936 15201040 17101170 22801560 27361872 34202340 45603120 68404680 136809360