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135775350 = 23252319733
BaseRepresentation
bin10000001011111…
…00010001110110
3100110111002202200
420011330101312
5234224302400
621250045330
73236033334
oct1005742166
9313432680
10135775350
116a707037
1239579846
132218b459
1414064b54
15bdbeb00
hex817c476

135775350 has 72 divisors (see below), whose sum is σ = 376588992. Its totient is φ = 35035200.

The previous prime is 135775333. The next prime is 135775369. The reversal of 135775350 is 53577531.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9084 + ... + 18816.

Almost surely, 2135775350 is an apocalyptic number.

135775350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135775350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188294496).

135775350 is an abundant number, since it is smaller than the sum of its proper divisors (240813642).

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

135775350 is a wasteful number, since it uses less digits than its factorization.

135775350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9782 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 55125, while the sum is 36.

The square root of 135775350 is about 11652.2680195746. The cubic root of 135775350 is about 513.9730059961.

The spelling of 135775350 in words is "one hundred thirty-five million, seven hundred seventy-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 4650 6975 9733 13950 19466 29199 48665 58398 87597 97330 145995 175194 243325 291990 301723 437985 486650 603446 729975 875970 905169 1459950 1508615 1810338 2189925 2715507 3017230 4379850 4525845 5431014 7543075 9051690 13577535 15086150 22629225 27155070 45258450 67887675 135775350