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135345150 = 232521671801
BaseRepresentation
bin10000001000100…
…11001111111110
3100102200020122100
420010103033332
5234122021100
621232525530
73232262163
oct1004231776
9312606570
10135345150
116a4428a6
12393b08a6
132206a6b5
1413d9206a
15bd37400
hex81133fe

135345150 has 72 divisors (see below), whose sum is σ = 366007824. Its totient is φ = 35856000.

The previous prime is 135345137. The next prime is 135345157. The reversal of 135345150 is 51543531.

135345150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135345157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74250 + ... + 76050.

It is an arithmetic number, because the mean of its divisors is an integer number (5083442).

Almost surely, 2135345150 is an apocalyptic number.

135345150 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 135345150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183003912).

135345150 is an abundant number, since it is smaller than the sum of its proper divisors (230662674).

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

135345150 is a wasteful number, since it uses less digits than its factorization.

135345150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 135345150 is about 11633.7934483985. The cubic root of 135345150 is about 513.4295958039.

Adding to 135345150 its reverse (51543531), we get a palindrome (186888681).

The spelling of 135345150 in words is "one hundred thirty-five million, three hundred forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 167 225 334 450 501 835 1002 1503 1670 1801 2505 3006 3602 4175 5010 5403 7515 8350 9005 10806 12525 15030 16209 18010 25050 27015 32418 37575 45025 54030 75150 81045 90050 135075 162090 270150 300767 405225 601534 810450 902301 1503835 1804602 2706903 3007670 4511505 5413806 7519175 9023010 13534515 15038350 22557525 27069030 45115050 67672575 135345150