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135166428 = 22331976353
BaseRepresentation
bin10000000111001…
…11100111011100
3100102100011111000
420003213213130
5234100311203
621225030300
73230616135
oct1003474734
9312304430
10135166428
116a3305a1
1239325390
1322007247
1413d46c8c
15bcee4a3
hex80e79dc

135166428 has 48 divisors (see below), whose sum is σ = 352265760. Its totient is φ = 44819712.

The previous prime is 135166411. The next prime is 135166459. The reversal of 135166428 is 824661531.

It is a happy number.

135166428 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 6 + 642 + 8 = 666.

135166428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135166392 and 135166401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18100 + ... + 24452.

It is an arithmetic number, because the mean of its divisors is an integer number (7338870).

Almost surely, 2135166428 is an apocalyptic number.

135166428 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 135166428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176132880).

135166428 is an abundant number, since it is smaller than the sum of its proper divisors (217099332).

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

135166428 is a wasteful number, since it uses less digits than its factorization.

135166428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6563 (or 6555 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 135166428 is about 11626.1097534816. The cubic root of 135166428 is about 513.2035032699.

The spelling of 135166428 in words is "one hundred thirty-five million, one hundred sixty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 788 1182 1773 2364 3546 5319 6353 7092 10638 12706 19059 21276 25412 38118 57177 76236 114354 171531 228708 343062 686124 1251541 2503082 3754623 5006164 7509246 11263869 15018492 22527738 33791607 45055476 67583214 135166428