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135003636 = 223231137883
BaseRepresentation
bin10000000101111…
…11110111110100
3100102000220011200
420002333313310
5234030104021
621221332500
73226340415
oct1002776764
9312026150
10135003636
116a22a259
1239267130
1321c7b111
1413d0380c
15bcbb126
hex80bfdf4

135003636 has 72 divisors (see below), whose sum is σ = 355240704. Its totient is φ = 43182720.

The previous prime is 135003619. The next prime is 135003641. The reversal of 135003636 is 636300531.

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, 152451 + ... + 153333.

Almost surely, 2135003636 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 135003636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177620352).

135003636 is an abundant number, since it is smaller than the sum of its proper divisors (220237068).

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

135003636 is a wasteful number, since it uses less digits than its factorization.

135003636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 135003636 is about 11619.1065060959. The cubic root of 135003636 is about 512.9973894969.

The spelling of 135003636 in words is "one hundred thirty-five million, three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 137 186 274 279 372 411 548 558 822 883 1116 1233 1644 1766 2466 2649 3532 4247 4932 5298 7947 8494 10596 12741 15894 16988 25482 27373 31788 38223 50964 54746 76446 82119 109492 120971 152892 164238 241942 246357 328476 362913 483884 492714 725826 985428 1088739 1451652 2177478 3750101 4354956 7500202 11250303 15000404 22500606 33750909 45001212 67501818 135003636