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135177056 = 257679007
BaseRepresentation
bin10000000111010…
…10001101100000
3100102100201001122
420003222031200
5234101131211
621225151412
73230662130
oct1003521540
9312321048
10135177056
116a338583
123932b568
132200c031
1413d4aac0
15bd026db
hex80ea360

135177056 has 48 divisors (see below), whose sum is σ = 308722176. Its totient is φ = 57062016.

The previous prime is 135177023. The next prime is 135177067. The reversal of 135177056 is 650771531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10505 + ... + 19511.

It is an arithmetic number, because the mean of its divisors is an integer number (6431712).

Almost surely, 2135177056 is an apocalyptic number.

135177056 is a gapful number since it is divisible by the number (16) 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 135177056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154361088).

135177056 is an abundant number, since it is smaller than the sum of its proper divisors (173545120).

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

135177056 is an equidigital number, since it uses as much as digits as its factorization.

135177056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 35.

The square root of 135177056 is about 11626.5668191431. The cubic root of 135177056 is about 513.2169538087.

The spelling of 135177056 in words is "one hundred thirty-five million, one hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1876 2144 3752 7504 9007 15008 18014 36028 63049 72056 126098 144112 252196 288224 504392 603469 1008784 1206938 2017568 2413876 4224283 4827752 8448566 9655504 16897132 19311008 33794264 67588528 135177056