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135058896 = 24327219141
BaseRepresentation
bin10000000110011…
…01010111010000
3100102010200222100
420003031113100
5234033341041
621222440400
73226660500
oct1003152720
9312120870
10135058896
116a267825
1239293100
1321c9a30b
1413d19a00
15bccc6b6
hex80cd5d0

135058896 has 90 divisors (see below), whose sum is σ = 439710882. Its totient is φ = 38586240.

The previous prime is 135058873. The next prime is 135058919. The reversal of 135058896 is 698850531.

135058896 is a `hidden beast` number, since 13 + 50 + 588 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (135058873) and next prime (135058919).

It can be written as a sum of positive squares in only one way, i.e., 117418896 + 17640000 = 10836^2 + 4200^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2515 + ... + 16626.

Almost surely, 2135058896 is an apocalyptic number.

135058896 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 135058896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219855441).

135058896 is an abundant number, since it is smaller than the sum of its proper divisors (304651986).

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

135058896 is a wasteful number, since it uses less digits than its factorization.

135058896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19169 (or 19153 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 135058896 is about 11621.4842425570. The cubic root of 135058896 is about 513.0673737077.

The spelling of 135058896 in words is "one hundred thirty-five million, fifty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 19141 38282 57423 76564 114846 133987 153128 172269 229692 267974 306256 344538 401961 459384 535948 689076 803922 918768 937909 1071896 1205883 1378152 1607844 1875818 2143792 2411766 2756304 2813727 3215688 3751636 4823532 5627454 6431376 7503272 8441181 9647064 11254908 15006544 16882362 19294128 22509816 33764724 45019632 67529448 135058896