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135790592 = 219737
BaseRepresentation
bin10000001100000…
…00000000000000
3100110111212200012
420012000000000
5234230244332
621250244052
73236125640
oct1006000000
9313455605
10135790592
116a717533
1239586628
1322195382
141406a520
15bdc43b2
hex8180000

135790592 has 80 divisors (see below), whose sum is σ = 318766800. Its totient is φ = 56623104.

The previous prime is 135790547. The next prime is 135790609. The reversal of 135790592 is 295097531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3669998 + ... + 3670034.

It is an arithmetic number, because the mean of its divisors is an integer number (3984585).

Almost surely, 2135790592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135790592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159383400).

135790592 is an abundant number, since it is smaller than the sum of its proper divisors (182976208).

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

135790592 is an frugal number, since it uses more digits than its factorization.

135790592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 41.

The square root of 135790592 is about 11652.9220369828. The cubic root of 135790592 is about 513.9922379686.

The spelling of 135790592 in words is "one hundred thirty-five million, seven hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1024 1036 1184 1792 2048 2072 2368 3584 4096 4144 4736 7168 8192 8288 9472 14336 16384 16576 18944 28672 32768 33152 37888 57344 65536 66304 75776 114688 131072 132608 151552 229376 262144 265216 303104 458752 524288 530432 606208 917504 1060864 1212416 1835008 2121728 2424832 3670016 4243456 4849664 8486912 9699328 16973824 19398656 33947648 67895296 135790592