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135023130 = 232511294703
BaseRepresentation
bin10000000110001…
…00101000011010
3100102001212220200
420003010220122
5234031220010
621222003030
73226451304
oct1003045032
9312055820
10135023130
116a242970
1239276476
1321c86c58
1413d0a974
15bcc1cc0
hex80c4a1a

135023130 has 96 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 31597440.

The previous prime is 135023123. The next prime is 135023173. The reversal of 135023130 is 31320531.

135023130 is a `hidden beast` number, since 1 + 350 + 2 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26359 + ... + 31061.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2135023130 is an apocalyptic number.

135023130 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 135023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

135023130 is an abundant number, since it is smaller than the sum of its proper divisors (261241830).

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

135023130 is a wasteful number, since it uses less digits than its factorization.

135023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135023130 is about 11619.9453527114. The cubic root of 135023130 is about 513.0220799178.

Adding to 135023130 its reverse (31320531), we get a palindrome (166343661).

The spelling of 135023130 in words is "one hundred thirty-five million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 495 522 638 870 957 990 1305 1595 1914 2610 2871 3190 4703 4785 5742 9406 9570 14109 14355 23515 28218 28710 42327 47030 51733 70545 84654 103466 136387 141090 155199 211635 258665 272774 310398 409161 423270 465597 517330 681935 775995 818322 931194 1227483 1363870 1500257 1551990 2045805 2327985 2454966 3000514 4091610 4500771 4655970 6137415 7501285 9001542 12274830 13502313 15002570 22503855 27004626 45007710 67511565 135023130