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136036128 = 2531738191
BaseRepresentation
bin10000001101110…
…11111100100000
3100110222100111010
420012323330200
5234311124003
621255420520
73241200534
oct1006737440
9313870433
10136036128
116a874a58
1239684740
1322250067
14140d1bc4
15be22003
hex81bbf20

136036128 has 48 divisors (see below), whose sum is σ = 359202816. Its totient is φ = 45077760.

The previous prime is 136036111. The next prime is 136036151. The reversal of 136036128 is 821630631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 136036095 and 136036104.

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 7 ways as a sum of consecutive naturals, for example, 12513 + ... + 20703.

It is an arithmetic number, because the mean of its divisors is an integer number (7483392).

Almost surely, 2136036128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136036128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179601408).

136036128 is an abundant number, since it is smaller than the sum of its proper divisors (223166688).

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

136036128 is a wasteful number, since it uses less digits than its factorization.

136036128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 136036128 is about 11663.4526620551. The cubic root of 136036128 is about 514.3018509928.

Adding to 136036128 its reverse (821630631), we get a palindrome (957666759).

The spelling of 136036128 in words is "one hundred thirty-six million, thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 5536 8191 8304 16382 16608 24573 32764 49146 65528 98292 131056 196584 262112 393168 786336 1417043 2834086 4251129 5668172 8502258 11336344 17004516 22672688 34009032 45345376 68018064 136036128