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135688192 = 212157211
BaseRepresentation
bin10000001011001…
…11000000000000
3100110022200012121
420011213000000
5234214010232
621244134024
73235221253
oct1005470000
9313280177
10135688192
116a657602
1239537314
132215a893
141404109a
15bda3d97
hex8167000

135688192 has 52 divisors (see below), whose sum is σ = 274365736. Its totient is φ = 67092480.

The previous prime is 135688153. The next prime is 135688211. The reversal of 135688192 is 291886531.

It is a super-2 number, since 2×1356881922 = 36822570896457728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 642967 + ... + 643177.

Almost surely, 2135688192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137182868).

135688192 is an abundant number, since it is smaller than the sum of its proper divisors (138677544).

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

135688192 is an equidigital number, since it uses as much as digits as its factorization.

135688192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 370 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The square root of 135688192 is about 11648.5274605849. The cubic root of 135688192 is about 513.8630045657.

The spelling of 135688192 in words is "one hundred thirty-five million, six hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 157 211 256 314 422 512 628 844 1024 1256 1688 2048 2512 3376 4096 5024 6752 10048 13504 20096 27008 33127 40192 54016 66254 80384 108032 132508 160768 216064 265016 321536 432128 530032 643072 864256 1060064 2120128 4240256 8480512 16961024 33922048 67844096 135688192