Base | Representation |
---|---|
bin | 10000000111000… |
… | …11101101101100 |
3 | 100102022100120000 |
4 | 20003203231230 |
5 | 234044303234 |
6 | 21224424300 |
7 | 3230521422 |
oct | 1003435554 |
9 | 312270500 |
10 | 135150444 |
11 | 6a31a590 |
12 | 39318090 |
13 | 21cccba0 |
14 | 13d41112 |
15 | bce9899 |
hex | 80e3b6c |
135150444 has 120 divisors (see below), whose sum is σ = 415219728. Its totient is φ = 37791360.
The previous prime is 135150443. The next prime is 135150451. The reversal of 135150444 is 444051531.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (135150443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44874 + ... + 47790.
Almost surely, 2135150444 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 135150444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207609864).
135150444 is an abundant number, since it is smaller than the sum of its proper divisors (280069284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135150444 is a wasteful number, since it uses less digits than its factorization.
135150444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2957 (or 2946 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 27.
The square root of 135150444 is about 11625.4223149097. The cubic root of 135150444 is about 513.1832729797.
The spelling of 135150444 in words is "one hundred thirty-five million, one hundred fifty thousand, four hundred forty-four".
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