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135167490 = 23254353659
BaseRepresentation
bin10000000111001…
…11111000000010
3100102100012221100
420003213320002
5234100324430
621225035230
73230622213
oct1003477002
9312305840
10135167490
116a331377
1239325b16
1322007883
1413d4740a
15bcee960
hex80e7e02

135167490 has 96 divisors (see below), whose sum is σ = 366949440. Its totient is φ = 34489728.

The previous prime is 135167477. The next prime is 135167507. The reversal of 135167490 is 94761531.

135167490 is a `hidden beast` number, since 1 + 3 + 5 + 167 + 490 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204781 + ... + 205439.

It is an arithmetic number, because the mean of its divisors is an integer number (3822390).

Almost surely, 2135167490 is an apocalyptic number.

135167490 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 135167490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183474720).

135167490 is an abundant number, since it is smaller than the sum of its proper divisors (231781950).

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

135167490 is a wasteful number, since it uses less digits than its factorization.

135167490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 135167490 is about 11626.1554264512. The cubic root of 135167490 is about 513.2048473430.

The spelling of 135167490 in words is "one hundred thirty-five million, one hundred sixty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 53 86 90 106 129 159 215 258 265 318 387 430 477 530 645 659 774 795 954 1290 1318 1590 1935 1977 2279 2385 3295 3870 3954 4558 4770 5931 6590 6837 9885 11395 11862 13674 19770 20511 22790 28337 29655 34185 34927 41022 56674 59310 68370 69854 85011 102555 104781 141685 170022 174635 205110 209562 255033 283370 314343 349270 425055 510066 523905 628686 850110 1047810 1275165 1501861 1571715 2550330 3003722 3143430 4505583 7509305 9011166 13516749 15018610 22527915 27033498 45055830 67583745 135167490