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135153450 = 232521571913
BaseRepresentation
bin10000000111001…
…00011100101010
3100102022111200100
420003210130222
5234044402300
621224450230
73230533245
oct1003443452
9312274610
10135153450
116a321873
1239319976
1322001373
1413d4225c
15bcea700
hex80e472a

135153450 has 72 divisors (see below), whose sum is σ = 365616108. Its totient is φ = 35792640.

The previous prime is 135153449. The next prime is 135153467. The reversal of 135153450 is 54351531.

It can be written as a sum of positive squares in 6 ways, for example, as 62204769 + 72948681 = 7887^2 + 8541^2 .

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 35 ways as a sum of consecutive naturals, for example, 69694 + ... + 71606.

Almost surely, 2135153450 is an apocalyptic number.

135153450 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 135153450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182808054).

135153450 is an abundant number, since it is smaller than the sum of its proper divisors (230462658).

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

135153450 is a wasteful number, since it uses less digits than its factorization.

135153450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2080 counting only the distinct ones).

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

The square root of 135153450 is about 11625.5515998167. The cubic root of 135153450 is about 513.1870776718.

The spelling of 135153450 in words is "one hundred thirty-five million, one hundred fifty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 157 225 314 450 471 785 942 1413 1570 1913 2355 2826 3826 3925 4710 5739 7065 7850 9565 11478 11775 14130 17217 19130 23550 28695 34434 35325 47825 57390 70650 86085 95650 143475 172170 286950 300341 430425 600682 860850 901023 1501705 1802046 2703069 3003410 4505115 5406138 7508525 9010230 13515345 15017050 22525575 27030690 45051150 67576725 135153450