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135663750 = 2325431389
BaseRepresentation
bin10000001011000…
…01000010000110
3100110021102200100
420011201002012
5234212220000
621243424530
73235060065
oct1005410206
9313242610
10135663750
116a640202
1239525146
132214c711
14140361dc
15bd9ba00
hex8161086

135663750 has 120 divisors (see below), whose sum is σ = 380128320. Its totient is φ = 34920000.

The previous prime is 135663733. The next prime is 135663799. The reversal of 135663750 is 57366531.

It is a happy number.

135663750 is a `hidden beast` number, since 13 + 5 + 6 + 637 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 348556 + ... + 348944.

It is an arithmetic number, because the mean of its divisors is an integer number (3167736).

Almost surely, 2135663750 is an apocalyptic number.

135663750 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 135663750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190064160).

135663750 is an abundant number, since it is smaller than the sum of its proper divisors (244464570).

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

135663750 is a wasteful number, since it uses less digits than its factorization.

135663750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 135663750 is about 11647.4782678484. The cubic root of 135663750 is about 513.8321480517.

The spelling of 135663750 in words is "one hundred thirty-five million, six hundred sixty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 125 150 155 186 225 250 279 310 375 389 450 465 558 625 750 775 778 930 1125 1167 1250 1395 1550 1875 1945 2250 2325 2334 2790 3501 3750 3875 3890 4650 5625 5835 6975 7002 7750 9725 11250 11625 11670 12059 13950 17505 19375 19450 23250 24118 29175 34875 35010 36177 38750 48625 58125 58350 60295 69750 72354 87525 97250 108531 116250 120590 145875 174375 175050 180885 217062 243125 291750 301475 348750 361770 437625 486250 542655 602950 729375 875250 904425 1085310 1458750 1507375 1808850 2188125 2713275 3014750 4376250 4522125 5426550 7536875 9044250 13566375 15073750 22610625 27132750 45221250 67831875 135663750