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136553742 = 23313194521
BaseRepresentation
bin10000010001110…
…10010100001110
3100111221122112000
420020322110032
5234424204432
621314453130
73245454603
oct1010722416
9314848460
10136553742
1170098936
12398941a6
13223a1840
14141c86aa
15bec557c
hex823a50e

136553742 has 32 divisors (see below), whose sum is σ = 326796960. Its totient is φ = 42016320.

The previous prime is 136553713. The next prime is 136553749. The reversal of 136553742 is 247355631.

136553742 is a `hidden beast` number, since 1 + 36 + 553 + 74 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 136553697 and 136553706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136553749) 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 15 ways as a sum of consecutive naturals, for example, 96559 + ... + 97962.

It is an arithmetic number, because the mean of its divisors is an integer number (10212405).

Almost surely, 2136553742 is an apocalyptic number.

136553742 is an abundant number, since it is smaller than the sum of its proper divisors (190243218).

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

136553742 is a wasteful number, since it uses less digits than its factorization.

136553742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194545 (or 194539 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 136553742 is about 11685.6211644910. The cubic root of 136553742 is about 514.9533272185.

It can be divided in two parts, 136 and 553742, that added together give a triangular number (553878 = T1052).

The spelling of 136553742 in words is "one hundred thirty-six million, five hundred fifty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 194521 389042 583563 1167126 1750689 2528773 3501378 5057546 5252067 7586319 10504134 15172638 22758957 45517914 68276871 136553742