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135258048 = 2632432127
BaseRepresentation
bin10000000111111…
…01111111000000
3100102111211011100
420003331333000
5234111224143
621231014400
73231450222
oct1003757700
9312454140
10135258048
116a393412
123936a400
1322039b63
1413d6c412
15bd1b6d3
hex80fdfc0

135258048 has 126 divisors (see below), whose sum is σ = 400043904. Its totient is φ = 43690752.

The previous prime is 135258041. The next prime is 135258049. The reversal of 135258048 is 840852531.

It is a happy number.

135258048 is a `hidden beast` number, since 1 + 35 + 2 + 580 + 48 = 666.

135258048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135258041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1064961 + ... + 1065087.

Almost surely, 2135258048 is an apocalyptic number.

135258048 is a gapful number since it is divisible by the number (18) 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 135258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200021952).

135258048 is an abundant number, since it is smaller than the sum of its proper divisors (264785856).

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

135258048 is a wasteful number, since it uses less digits than its factorization.

135258048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 135258048 is about 11630.0493550114. The cubic root of 135258048 is about 513.3194321679.

The spelling of 135258048 in words is "one hundred thirty-five million, two hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 127 129 144 172 192 254 258 288 344 381 387 508 516 576 688 762 774 1016 1032 1143 1376 1524 1548 1849 2032 2064 2286 2752 3048 3096 3698 4064 4128 4572 5461 5547 6096 6192 7396 8128 8256 9144 10922 11094 12192 12384 14792 16383 16641 18288 21844 22188 24384 24768 29584 32766 33282 36576 43688 44376 49149 59168 65532 66564 73152 87376 88752 98298 118336 131064 133128 174752 177504 196596 234823 262128 266256 349504 355008 393192 469646 524256 532512 704469 786384 939292 1048512 1065024 1408938 1572768 1878584 2113407 2817876 3145536 3757168 4226814 5635752 7514336 8453628 11271504 15028672 16907256 22543008 33814512 45086016 67629024 135258048