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135079756 = 22717216693
BaseRepresentation
bin10000000110100…
…10011101001100
3100102011202120221
420003102131030
5234040023011
621223121124
73230105350
oct1003223514
9312152527
10135079756
116a281469
12392a31a4
1321ca6966
1413d23460
15bcd3971
hex80d274c

135079756 has 36 divisors (see below), whose sum is σ = 287003248. Its totient is φ = 54482688.

The previous prime is 135079751. The next prime is 135079823. The reversal of 135079756 is 657970531.

135079756 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135079751) 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 11 ways as a sum of consecutive naturals, for example, 255 + ... + 16438.

Almost surely, 2135079756 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 135079756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143501624).

135079756 is an abundant number, since it is smaller than the sum of its proper divisors (151923492).

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

135079756 is a wasteful number, since it uses less digits than its factorization.

135079756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16738 (or 16719 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 43.

The square root of 135079756 is about 11622.3816836309. The cubic root of 135079756 is about 513.0937869609.

The spelling of 135079756 in words is "one hundred thirty-five million, seventy-nine thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 289 476 578 1156 2023 4046 8092 16693 33386 66772 116851 233702 283781 467404 567562 1135124 1986467 3972934 4824277 7945868 9648554 19297108 33769939 67539878 135079756