Search a number
-
+
135045150 = 23528310847
BaseRepresentation
bin10000000110010…
…10000000011110
3100102010000010020
420003022000132
5234032421100
621222253010
73226602432
oct1003120036
9312100106
10135045150
116a258469
1239287166
1321c93c96
1413d149c2
15bcc85a0
hex80ca01e

135045150 has 48 divisors (see below), whose sum is σ = 338978304. Its totient is φ = 35574880.

The previous prime is 135045091. The next prime is 135045271. The reversal of 135045150 is 51540531.

It is a self number, because there is not a number n which added to its sum of digits gives 135045150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7027 + ... + 17873.

It is an arithmetic number, because the mean of its divisors is an integer number (7062048).

Almost surely, 2135045150 is an apocalyptic number.

135045150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135045150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169489152).

135045150 is an abundant number, since it is smaller than the sum of its proper divisors (203933154).

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

135045150 is a wasteful number, since it uses less digits than its factorization.

135045150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10945 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 135045150 is about 11620.8928228428. The cubic root of 135045150 is about 513.0499668242.

Adding to 135045150 its reverse (51540531), we get a palindrome (186585681).

The spelling of 135045150 in words is "one hundred thirty-five million, forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 166 249 415 498 830 1245 2075 2490 4150 6225 10847 12450 21694 32541 54235 65082 108470 162705 271175 325410 542350 813525 900301 1627050 1800602 2700903 4501505 5401806 9003010 13504515 22507525 27009030 45015050 67522575 135045150