Search a number
-
+
136275888 = 24372391697
BaseRepresentation
bin10000001111101…
…10011110110000
3100111102112101010
420013312132300
5234341312023
621304510520
73243216540
oct1007663660
9314375333
10136275888
116aa19101
123977b440
1322305228
1414155320
15be6d093
hex81f67b0

136275888 has 80 divisors (see below), whose sum is σ = 404259840. Its totient is φ = 38750208.

The previous prime is 136275883. The next prime is 136275911. The reversal of 136275888 is 888572631.

136275888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1362758882 = 37142235300377088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (136275883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79456 + ... + 81152.

It is an arithmetic number, because the mean of its divisors is an integer number (5053248).

Almost surely, 2136275888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136275888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202129920).

136275888 is an abundant number, since it is smaller than the sum of its proper divisors (267983952).

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

136275888 is a wasteful number, since it uses less digits than its factorization.

136275888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1948 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 136275888 is about 11673.7263973420. The cubic root of 136275888 is about 514.6038213628.

The spelling of 136275888 in words is "one hundred thirty-six million, two hundred seventy-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 239 336 478 717 956 1434 1673 1697 1912 2868 3346 3394 3824 5019 5091 5736 6692 6788 10038 10182 11472 11879 13384 13576 20076 20364 23758 26768 27152 35637 40152 40728 47516 71274 80304 81456 95032 142548 190064 285096 405583 570192 811166 1216749 1622332 2433498 2839081 3244664 4866996 5678162 6489328 8517243 9733992 11356324 17034486 19467984 22712648 34068972 45425296 68137944 136275888