152 (one hundred
ndfifty-two) is the
natural number
In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...
following
151 and preceding
153.
In mathematics
152 is the sum of four consecutive primes (31 + 37 + 41 + 43). It is a
nontotient
In number theory, a nontotient is a positive integer ''n'' which is not a totient number: it is not in the range of Euler's totient function φ, that is, the equation φ(''x'') = ''n'' has no solution ''x''. In other words, ''n'' is a nontotie ...
since there is no integer with 152
coprime
In number theory, two integers and are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1. Consequently, any prime number that divides does not divide , and vice versa. This is equiv ...
s below it.
152 is a
refactorable number since it is divisible by the total number of divisors it has, and in base 10 it is divisible by the sum of its digits, making it a
Harshad number
In mathematics, a harshad number (or Niven number) in a given radix, number base is an integer that is divisible by the digit sum, sum of its digits when written in that base. Harshad numbers in base are also known as -harshad (or -Niven) numbers ...
.
The smallest
repunit probable prime in base 152 was found in June 2015, it has 589570 digits.
The number of surface points on a 6*6*6 cube is 152.
References
External links
Oklahoma Highway 152
{{DEFAULTSORT:152 (Number)
Integers