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135132354 = 23371721237
BaseRepresentation
bin10000000110111…
…11010011000010
3100102021102202000
420003133103002
5234043213404
621224204430
73230414610
oct1003372302
9312242660
10135132354
116a307a35
1239309716
1321cc4896
1413d386b0
15bce4339
hex80df4c2

135132354 has 96 divisors (see below), whose sum is σ = 364863360. Its totient is φ = 36308736.

The previous prime is 135132353. The next prime is 135132377. The reversal of 135132354 is 453231531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135132353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108624 + ... + 109860.

It is an arithmetic number, because the mean of its divisors is an integer number (3800660).

Almost surely, 2135132354 is an apocalyptic number.

135132354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135132354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182431680).

135132354 is an abundant number, since it is smaller than the sum of its proper divisors (229731006).

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

135132354 is a wasteful number, since it uses less digits than its factorization.

135132354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1266 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 135132354 is about 11624.6442526212. The cubic root of 135132354 is about 513.1603752879.

Adding to 135132354 its reverse (453231531), we get a palindrome (588363885).

The spelling of 135132354 in words is "one hundred thirty-five million, one hundred thirty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 289 306 357 378 459 578 714 867 918 1071 1237 1734 2023 2142 2474 2601 3213 3711 4046 5202 6069 6426 7422 7803 8659 11133 12138 15606 17318 18207 21029 22266 25977 33399 36414 42058 51954 54621 63087 66798 77931 109242 126174 147203 155862 189261 233793 294406 357493 378522 441609 467586 567783 714986 883218 1072479 1135566 1324827 2144958 2502451 2649654 3217437 3974481 5004902 6434874 7507353 7948962 9652311 15014706 19304622 22522059 45044118 67566177 135132354