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135855000 = 2332543019
BaseRepresentation
bin10000001100011…
…11101110011000
3100110122011000200
420012033232120
5234234330000
621251502200
73236514501
oct1006175630
9313564020
10135855000
116a760966
12395b7960
13221b8798
1414085ba8
15bdd8500
hex818fb98

135855000 has 120 divisors (see below), whose sum is σ = 459930900. Its totient is φ = 36216000.

The previous prime is 135854987. The next prime is 135855019. The reversal of 135855000 is 558531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 43491 + ... + 46509.

Almost surely, 2135855000 is an apocalyptic number.

135855000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135855000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229965450).

135855000 is an abundant number, since it is smaller than the sum of its proper divisors (324075900).

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

135855000 is a wasteful number, since it uses less digits than its factorization.

135855000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 135855000 is about 11655.6853080374. The cubic root of 135855000 is about 514.0734904786.

The spelling of 135855000 in words is "one hundred thirty-five million, eight hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3019 3750 4500 5000 5625 6038 7500 9000 9057 11250 12076 15000 15095 18114 22500 24152 27171 30190 36228 45000 45285 54342 60380 72456 75475 90570 108684 120760 135855 150950 181140 217368 226425 271710 301900 362280 377375 452850 543420 603800 679275 754750 905700 1086840 1132125 1358550 1509500 1811400 1886875 2264250 2717100 3019000 3396375 3773750 4528500 5434200 5660625 6792750 7547500 9057000 11321250 13585500 15095000 16981875 22642500 27171000 33963750 45285000 67927500 135855000