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135992120 = 235111916267
BaseRepresentation
bin10000001101100…
…01001100111000
3100110220010010012
420012301030320
5234303221440
621254441052
73240625325
oct1006611470
9313803105
10135992120
116a844990
1239663188
1322236014
14140bdb4c
15be13e65
hex81b1338

135992120 has 64 divisors (see below), whose sum is σ = 351388800. Its totient is φ = 46846080.

The previous prime is 135992099. The next prime is 135992149. The reversal of 135992120 is 21299531.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 227 + ... + 16493.

It is an arithmetic number, because the mean of its divisors is an integer number (5490450).

Almost surely, 2135992120 is an apocalyptic number.

135992120 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 135992120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175694400).

135992120 is an abundant number, since it is smaller than the sum of its proper divisors (215396680).

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

135992120 is a wasteful number, since it uses less digits than its factorization.

135992120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16308 (or 16304 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 135992120 is about 11661.5659325838. The cubic root of 135992120 is about 514.2463857345.

The spelling of 135992120 in words is "one hundred thirty-five million, nine hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 16267 32534 65068 81335 130136 162670 178937 309073 325340 357874 618146 650680 715748 894685 1236292 1431496 1545365 1789370 2472584 3090730 3399803 3578740 6181460 6799606 7157480 12362920 13599212 16999015 27198424 33998030 67996060 135992120