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136000152 = 23321939787
BaseRepresentation
bin10000001101100…
…11001010011000
3100110220112010200
420012303022120
5234304001102
621254542200
73240660621
oct1006631230
9313815120
10136000152
116a84aa22
1239667960
1322239882
14140c2a48
15be1651c
hex81b3298

136000152 has 48 divisors (see below), whose sum is σ = 370280040. Its totient is φ = 45093888.

The previous prime is 136000129. The next prime is 136000177. The reversal of 136000152 is 251000631.

136000152 is a `hidden beast` number, since 13 + 600 + 0 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9003 + ... + 18789.

Almost surely, 2136000152 is an apocalyptic number.

136000152 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 136000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185140020).

136000152 is an abundant number, since it is smaller than the sum of its proper divisors (234279888).

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

136000152 is a wasteful number, since it uses less digits than its factorization.

136000152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9992 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 136000152 is about 11661.9103066350. The cubic root of 136000152 is about 514.2565097173.

Adding to 136000152 its reverse (251000631), we get a palindrome (387000783).

The spelling of 136000152 in words is "one hundred thirty-six million, one hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 6948 9787 13896 19574 29361 39148 58722 78296 88083 117444 176166 234888 352332 704664 1888891 3777782 5666673 7555564 11333346 15111128 17000019 22666692 34000038 45333384 68000076 136000152