Search a number
-
+
135549900 = 223252150611
BaseRepresentation
bin10000001010001…
…01001111001100
3100110001122111200
420011011033030
5234200044100
621241145500
73234104133
oct1005051714
9313048450
10135549900
116a572712
123948b290
132210c955
141400691a
15bd77e00
hex81453cc

135549900 has 54 divisors (see below), whose sum is σ = 424876452. Its totient is φ = 36146400.

The previous prime is 135549899. The next prime is 135549901. The reversal of 135549900 is 9945531.

135549900 is a `hidden beast` number, since 13 + 554 + 9 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135549899) and next prime (135549901).

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

It is not an unprimeable number, because it can be changed into a prime (135549901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 74406 + ... + 76205.

Almost surely, 2135549900 is an apocalyptic number.

135549900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135549900 is an abundant number, since it is smaller than the sum of its proper divisors (289326552).

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

135549900 is a wasteful number, since it uses less digits than its factorization.

135549900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150631 (or 150621 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 135549900 is about 11642.5899180552. The cubic root of 135549900 is about 513.6883706064.

The spelling of 135549900 in words is "one hundred thirty-five million, five hundred forty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 150611 301222 451833 602444 753055 903666 1355499 1506110 1807332 2259165 2710998 3012220 3765275 4518330 5421996 6777495 7530550 9036660 11295825 13554990 15061100 22591650 27109980 33887475 45183300 67774950 135549900