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135809536 = 293767107
BaseRepresentation
bin10000001100001…
…00101000000000
3100110112211122211
420012010220000
5234231401121
621250511504
73236235112
oct1006045000
9313484584
10135809536
116a72a795
1239595594
13221a0b95
14140733b2
15bdc9ce1
hex8184a00

135809536 has 80 divisors (see below), whose sum is σ = 285490656. Its totient is φ = 64475136.

The previous prime is 135809501. The next prime is 135809539. The reversal of 135809536 is 635908531.

It is not an unprimeable number, because it can be changed into a prime (135809539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269195 + ... + 1269301.

Almost surely, 2135809536 is an apocalyptic number.

135809536 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 135809536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142745328).

135809536 is an abundant number, since it is smaller than the sum of its proper divisors (149681120).

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

135809536 is an equidigital number, since it uses as much as digits as its factorization.

135809536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 135809536 is about 11653.7348519691. The cubic root of 135809536 is about 514.0161390260.

The spelling of 135809536 in words is "one hundred thirty-five million, eight hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 67 74 107 128 134 148 214 256 268 296 428 512 536 592 856 1072 1184 1712 2144 2368 2479 3424 3959 4288 4736 4958 6848 7169 7918 8576 9472 9916 13696 14338 15836 17152 18944 19832 27392 28676 31672 34304 39664 54784 57352 63344 79328 114704 126688 158656 229408 253376 265253 317312 458816 506752 530506 634624 917632 1013504 1061012 1269248 1835264 2027008 2122024 3670528 4244048 8488096 16976192 33952384 67904768 135809536