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135099552 = 25371271583
BaseRepresentation
bin10000000110101…
…11010010100000
3100102012202202010
420003113102200
5234041141202
621223352520
73230220150
oct1003272240
9312182663
10135099552
116a295325
12392b2740
1321cb2983
1413d2a760
15bcd976c
hex80d74a0

135099552 has 96 divisors (see below), whose sum is σ = 408748032. Its totient is φ = 38271744.

The previous prime is 135099541. The next prime is 135099553. The reversal of 135099552 is 255990531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135099552.

It is not an unprimeable number, because it can be changed into a prime (135099553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84553 + ... + 86135.

It is an arithmetic number, because the mean of its divisors is an integer number (4257792).

Almost surely, 2135099552 is an apocalyptic number.

135099552 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 135099552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204374016).

135099552 is an abundant number, since it is smaller than the sum of its proper divisors (273648480).

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

135099552 is a wasteful number, since it uses less digits than its factorization.

135099552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 39.

The square root of 135099552 is about 11623.2332851062. The cubic root of 135099552 is about 513.1188504463.

The spelling of 135099552 in words is "one hundred thirty-five million, ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 254 336 381 508 672 762 889 1016 1524 1583 1778 2032 2667 3048 3166 3556 4064 4749 5334 6096 6332 7112 9498 10668 11081 12192 12664 14224 18996 21336 22162 25328 28448 33243 37992 42672 44324 50656 66486 75984 85344 88648 132972 151968 177296 201041 265944 354592 402082 531888 603123 804164 1063776 1206246 1407287 1608328 2412492 2814574 3216656 4221861 4824984 5629148 6433312 8443722 9649968 11258296 16887444 19299936 22516592 33774888 45033184 67549776 135099552