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135773712 = 2433467673
BaseRepresentation
bin10000001011110…
…11111000010000
3100110111000112000
420011323320100
5234224224322
621250034000
73236025504
oct1005737020
9313430460
10135773712
116a705888
1239578900
132218a799
1414064304
15bdbe3ac
hex817be10

135773712 has 80 divisors (see below), whose sum is σ = 391135680. Its totient is φ = 45093888.

The previous prime is 135773689. The next prime is 135773723. The reversal of 135773712 is 217377531.

135773712 is a `hidden beast` number, since 13 + 577 + 3 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201408 + ... + 202080.

It is an arithmetic number, because the mean of its divisors is an integer number (4889196).

Almost surely, 2135773712 is an apocalyptic number.

135773712 is a gapful number since it is divisible by the number (12) 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 135773712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195567840).

135773712 is an abundant number, since it is smaller than the sum of its proper divisors (255361968).

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

135773712 is a wasteful number, since it uses less digits than its factorization.

135773712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1145 counting only the distinct ones).

The product of its digits is 30870, while the sum is 36.

The square root of 135773712 is about 11652.1977326168. The cubic root of 135773712 is about 513.9709391232.

The spelling of 135773712 in words is "one hundred thirty-five million, seven hundred seventy-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 467 673 934 1346 1401 1868 2019 2692 2802 3736 4038 4203 5384 5604 6057 7472 8076 8406 10768 11208 12114 12609 16152 16812 18171 22416 24228 25218 32304 33624 36342 48456 50436 67248 72684 96912 100872 145368 201744 290736 314291 628582 942873 1257164 1885746 2514328 2828619 3771492 5028656 5657238 7542984 8485857 11314476 15085968 16971714 22628952 33943428 45257904 67886856 135773712