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136215540 = 223351931307
BaseRepresentation
bin10000001111001…
…11101111110100
3100111022110121000
420013213233310
5234332344130
621303323300
73242545566
oct1007475764
9314273530
10136215540
116a98782a
1239750530
13222b3916
141413b336
15be5a260
hex81e7bf4

136215540 has 96 divisors (see below), whose sum is σ = 426303360. Its totient is φ = 36108288.

The previous prime is 136215539. The next prime is 136215613. The reversal of 136215540 is 45512631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103567 + ... + 104873.

It is an arithmetic number, because the mean of its divisors is an integer number (4440660).

Almost surely, 2136215540 is an apocalyptic number.

136215540 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 136215540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213151680).

136215540 is an abundant number, since it is smaller than the sum of its proper divisors (290087820).

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

136215540 is a wasteful number, since it uses less digits than its factorization.

136215540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 136215540 is about 11671.1413323633. The cubic root of 136215540 is about 514.5278482831.

The spelling of 136215540 in words is "one hundred thirty-six million, two hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 193 270 386 540 579 772 965 1158 1307 1737 1930 2316 2614 2895 3474 3860 3921 5211 5228 5790 6535 6948 7842 8685 10422 11580 11763 13070 15684 17370 19605 20844 23526 26055 26140 34740 35289 39210 47052 52110 58815 70578 78420 104220 117630 141156 176445 235260 252251 352890 504502 705780 756753 1009004 1261255 1513506 2270259 2522510 3027012 3783765 4540518 5045020 6810777 7567530 9081036 11351295 13621554 15135060 22702590 27243108 34053885 45405180 68107770 136215540