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135036726 = 23112238087
BaseRepresentation
bin10000000110001…
…11111100110110
3100102002120120020
420003013330312
5234032133401
621222150010
73226536036
oct1003077466
9312076506
10135036726
116a252100
1239282306
1321c901b6
1413d118c6
15bcc5d36
hex80c7f36

135036726 has 48 divisors (see below), whose sum is σ = 309802752. Its totient is φ = 39136240.

The previous prime is 135036719. The next prime is 135036779. The reversal of 135036726 is 627630531.

135036726 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12655 + ... + 20741.

It is an arithmetic number, because the mean of its divisors is an integer number (6454224).

Almost surely, 2135036726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135036726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154901376).

135036726 is an abundant number, since it is smaller than the sum of its proper divisors (174766026).

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

135036726 is a wasteful number, since it uses less digits than its factorization.

135036726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 135036726 is about 11620.5303665538. The cubic root of 135036726 is about 513.0392987309.

The spelling of 135036726 in words is "one hundred thirty-five million, thirty-six thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 1518 2783 5566 8087 8349 16174 16698 24261 48522 88957 177914 186001 266871 372002 533742 558003 978527 1116006 1957054 2046011 2935581 4092022 5871162 6138033 12276066 22506121 45012242 67518363 135036726