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135016056 = 23327793391
BaseRepresentation
bin10000000110000…
…10111001111000
3100102001112012200
420003002321320
5234031003211
621221510200
73226421550
oct1003027170
9312045180
10135016056
116a23861a
1239272360
1321c83976
1413d08160
15bcbeb56
hex80c2e78

135016056 has 96 divisors (see below), whose sum is σ = 423321600. Its totient is φ = 38076480.

The previous prime is 135016051. The next prime is 135016061. The reversal of 135016056 is 650610531.

It is a happy number.

135016056 is a `hidden beast` number, since 1 + 3 + 50 + 1 + 605 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (135016051) and next prime (135016061).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135016051) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38121 + ... + 41511.

It is an arithmetic number, because the mean of its divisors is an integer number (4409600).

Almost surely, 2135016056 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 135016056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211660800).

135016056 is an abundant number, since it is smaller than the sum of its proper divisors (288305544).

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

135016056 is a wasteful number, since it uses less digits than its factorization.

135016056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135016056 is about 11619.6409583085. The cubic root of 135016056 is about 513.0131205107.

Adding to 135016056 its reverse (650610531), we get a palindrome (785626587).

The spelling of 135016056 in words is "one hundred thirty-five million, sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2844 3318 3391 4424 4977 5688 6636 6782 9954 10173 13272 13564 19908 20346 23737 27128 30519 39816 40692 47474 61038 71211 81384 94948 122076 142422 189896 213633 244152 267889 284844 427266 535778 569688 803667 854532 1071556 1607334 1709064 1875223 2143112 2411001 3214668 3750446 4822002 5625669 6429336 7500892 9644004 11251338 15001784 16877007 19288008 22502676 33754014 45005352 67508028 135016056