Search a number
-
+
136140200 = 23527472069
BaseRepresentation
bin10000001110101…
…01010110101000
3100111011122020122
420013111112220
5234322441300
621301542412
73242113130
oct1007252650
9314148218
10136140200
116a936169
1239714a08
1322288541
141411bac0
15be42c85
hex81d55a8

136140200 has 96 divisors (see below), whose sum is σ = 369619200. Its totient is φ = 45661440.

The previous prime is 136140161. The next prime is 136140203. The reversal of 136140200 is 2041631.

136140200 = T351 + T352 + ... + T950.

It is not an unprimeable number, because it can be changed into a prime (136140203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64766 + ... + 66834.

It is an arithmetic number, because the mean of its divisors is an integer number (3850200).

Almost surely, 2136140200 is an apocalyptic number.

136140200 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 136140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184809600).

136140200 is an abundant number, since it is smaller than the sum of its proper divisors (233479000).

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

136140200 is a wasteful number, since it uses less digits than its factorization.

136140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 136140200 is about 11667.9132667328. The cubic root of 136140200 is about 514.4329700309.

Adding to 136140200 its reverse (2041631), we get a palindrome (138181831).

The spelling of 136140200 in words is "one hundred thirty-six million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 140 175 188 200 235 280 329 350 376 470 658 700 940 1175 1316 1400 1645 1880 2069 2350 2632 3290 4138 4700 6580 8225 8276 9400 10345 13160 14483 16450 16552 20690 28966 32900 41380 51725 57932 65800 72415 82760 97243 103450 115864 144830 194486 206900 289660 362075 388972 413800 486215 579320 680701 724150 777944 972430 1361402 1448300 1944860 2431075 2722804 2896600 3403505 3889720 4862150 5445608 6807010 9724300 13614020 17017525 19448600 27228040 34035050 68070100 136140200