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135885618 = 232111733967
BaseRepresentation
bin10000001100101…
…11001100110010
3100110200201000200
420012113030302
5234241314433
621252300030
73240002661
oct1006271462
9313621020
10135885618
116a781970
1239611616
13221c96bb
1414092dd8
15bde2613
hex8197332

135885618 has 48 divisors (see below), whose sum is σ = 323122176. Its totient is φ = 40929120.

The previous prime is 135885611. The next prime is 135885647. The reversal of 135885618 is 816588531.

135885618 is a `hidden beast` number, since 1 + 3 + 5 + 88 + 561 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (135885611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32271 + ... + 36237.

It is an arithmetic number, because the mean of its divisors is an integer number (6731712).

Almost surely, 2135885618 is an apocalyptic number.

135885618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135885618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161561088).

135885618 is an abundant number, since it is smaller than the sum of its proper divisors (187236558).

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

135885618 is a wasteful number, since it uses less digits than its factorization.

135885618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4159 (or 4156 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 135885618 is about 11656.9986703268. The cubic root of 135885618 is about 514.1121069443.

It can be divided in two parts, 135885 and 618, that added together give a triangular number (136503 = T522).

The spelling of 135885618 in words is "one hundred thirty-five million, eight hundred eighty-five thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 1038 1557 1903 3114 3806 3967 5709 7934 11418 11901 17127 23802 34254 35703 43637 71406 87274 130911 261822 392733 686291 785466 1372582 2058873 4117746 6176619 7549201 12353238 15098402 22647603 45295206 67942809 135885618