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136117140 = 223519139859
BaseRepresentation
bin10000001110011…
…11101110010100
3100111010110121120
420013033232110
5234321222030
621301243540
73241655655
oct1007175624
9314113546
10136117140
116a91a905
12397035b0
132227abb3
141411352c
15be3b010
hex81cfb94

136117140 has 96 divisors (see below), whose sum is σ = 404544000. Its totient is φ = 34100352.

The previous prime is 136117103. The next prime is 136117141. The reversal of 136117140 is 41711631.

136117140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 136117140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136117141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158031 + ... + 158889.

It is an arithmetic number, because the mean of its divisors is an integer number (4214000).

Almost surely, 2136117140 is an apocalyptic number.

136117140 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 136117140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202272000).

136117140 is an abundant number, since it is smaller than the sum of its proper divisors (268426860).

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

136117140 is a wasteful number, since it uses less digits than its factorization.

136117140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 136117140 is about 11666.9250447579. The cubic root of 136117140 is about 514.4039227836.

Adding to 136117140 its reverse (41711631), we get a palindrome (177828771).

The spelling of 136117140 in words is "one hundred thirty-six million, one hundred seventeen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 139 190 228 278 285 380 417 556 570 695 834 859 1140 1390 1668 1718 2085 2577 2641 2780 3436 4170 4295 5154 5282 7923 8340 8590 10308 10564 12885 13205 15846 16321 17180 25770 26410 31692 32642 39615 48963 51540 52820 65284 79230 81605 97926 119401 158460 163210 195852 238802 244815 326420 358203 477604 489630 597005 716406 979260 1194010 1432812 1791015 2268619 2388020 3582030 4537238 6805857 7164060 9074476 11343095 13611714 22686190 27223428 34029285 45372380 68058570 136117140