Search a number
-
+
136183689000 = 23325315131521
BaseRepresentation
bin111111011010100101…
…1100010111100101000
3111000111212122012020100
41332311023202330220
54212401011022000
6142321213025400
712560521154112
oct1766513427450
9430455565210
10136183689000
1152834162207
1222487785260
13cac40365c8
14683c8523b2
153820b82a00
hex1fb52e2f28

136183689000 has 96 divisors (see below), whose sum is σ = 460300899240. Its totient is φ = 36315648000.

The previous prime is 136183688987. The next prime is 136183689007. The reversal of 136183689000 is 986381631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32134864644 + 104048824356 = 179262^2 + 322566^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (136183689007) 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, 7556761 + ... + 7574760.

Almost surely, 2136183689000 is an apocalyptic number.

136183689000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136183689000 is an abundant number, since it is smaller than the sum of its proper divisors (324117210240).

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

136183689000 is a wasteful number, since it uses less digits than its factorization.

136183689000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15131548 (or 15131531 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 136183689000 in words is "one hundred thirty-six billion, one hundred eighty-three million, six hundred eighty-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 15131521 30263042 45394563 60526084 75657605 90789126 121052168 136183689 151315210 181578252 226972815 272367378 302630420 363156504 378288025 453945630 544734756 605260840 680918445 756576050 907891260 1089469512 1134864075 1361836890 1513152100 1815782520 1891440125 2269728150 2723673780 3026304200 3404592225 3782880250 4539456300 5447347560 5674320375 6809184450 7565760500 9078912600 11348640750 13618368900 15131521000 17022961125 22697281500 27236737800 34045922250 45394563000 68091844500 136183689000