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135162108 = 22343113457
BaseRepresentation
bin10000000111001…
…10100011111100
3100102022221120000
420003212203330
5234100141413
621224554300
73230600424
oct1003464374
9312287500
10135162108
116a328324
1239322990
13220052a3
1413d45484
15bced073
hex80e68fc

135162108 has 60 divisors (see below), whose sum is σ = 364765632. Its totient is φ = 43597440.

The previous prime is 135162091. The next prime is 135162119. The reversal of 135162108 is 801261531.

135162108 is a `hidden beast` number, since 1 + 35 + 1 + 621 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 3316 + ... + 16772.

Almost surely, 2135162108 is an apocalyptic number.

135162108 is a gapful number since it is divisible by the number (18) 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 135162108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182382816).

135162108 is an abundant number, since it is smaller than the sum of its proper divisors (229603524).

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

135162108 is a wasteful number, since it uses less digits than its factorization.

135162108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504 (or 13493 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 135162108 is about 11625.9239632814. The cubic root of 135162108 is about 513.1980357812.

The spelling of 135162108 in words is "one hundred thirty-five million, one hundred sixty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 10044 13457 26914 40371 53828 80742 121113 161484 242226 363339 417167 484452 726678 834334 1090017 1251501 1453356 1668668 2180034 2503002 3754503 4360068 5006004 7509006 11263509 15018012 22527018 33790527 45054036 67581054 135162108