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136641330 = 2355729277
BaseRepresentation
bin10000010010011…
…11101100110010
3100112010002200000
420021033230302
5234440010310
621320410430
73246301140
oct1011175462
9315102600
10136641330
1170148721
1239916a16
1322402677
141420c590
15bee14c0
hex824fb32

136641330 has 192 divisors, whose sum is σ = 437149440. Its totient is φ = 30046464.

The previous prime is 136641311. The next prime is 136641343. The reversal of 136641330 is 33146631.

136641330 is a `hidden beast` number, since 13 + 6 + 641 + 3 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 136641294 and 136641303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493152 + ... + 493428.

It is an arithmetic number, because the mean of its divisors is an integer number (2276820).

Almost surely, 2136641330 is an apocalyptic number.

136641330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136641330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218574720).

136641330 is an abundant number, since it is smaller than the sum of its proper divisors (300508110).

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

136641330 is a wasteful number, since it uses less digits than its factorization.

136641330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 136641330 is about 11689.3682464024. The cubic root of 136641330 is about 515.0634037626.

Adding to 136641330 its reverse (33146631), we get a palindrome (169787961).

The spelling of 136641330 in words is "one hundred thirty-six million, six hundred forty-one thousand, three hundred thirty".