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135575720 = 23574431093
BaseRepresentation
bin10000001010010…
…11100010101000
3100110002221220222
420011023202220
5234201410340
621241505212
73234242330
oct1005134250
9313087828
10135575720
116a590055
12394a2208
132211b627
14140120c0
15bd808b5
hex814b8a8

135575720 has 64 divisors (see below), whose sum is σ = 349729920. Its totient is φ = 46335744.

The previous prime is 135575719. The next prime is 135575743. The reversal of 135575720 is 27575531.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 123494 + ... + 124586.

It is an arithmetic number, because the mean of its divisors is an integer number (5464530).

Almost surely, 2135575720 is an apocalyptic number.

135575720 is a gapful number since it is divisible by the number (10) 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 135575720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174864960).

135575720 is an abundant number, since it is smaller than the sum of its proper divisors (214154200).

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

135575720 is a wasteful number, since it uses less digits than its factorization.

135575720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 35.

The square root of 135575720 is about 11643.6987250616. The cubic root of 135575720 is about 513.7209848975.

The spelling of 135575720 in words is "one hundred thirty-five million, five hundred seventy-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 443 886 1093 1772 2186 2215 3101 3544 4372 4430 5465 6202 7651 8744 8860 10930 12404 15302 15505 17720 21860 24808 30604 31010 38255 43720 61208 62020 76510 124040 153020 306040 484199 968398 1936796 2420995 3389393 3873592 4841990 6778786 9683980 13557572 16946965 19367960 27115144 33893930 67787860 135575720