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136109376 = 2633137383
BaseRepresentation
bin10000001110011…
…01110101000000
3100111010001222000
420013031311000
5234321000001
621301144000
73241624224
oct1007156500
9314101860
10136109376
116a914a97
12396bb000
13222774c0
1414110784
15be38a86
hex81cdd40

136109376 has 224 divisors, whose sum is σ = 442081920. Its totient is φ = 40808448.

The previous prime is 136109359. The next prime is 136109419. The reversal of 136109376 is 673901631.

136109376 is a `hidden beast` number, since 1 + 3 + 610 + 9 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 136109376.

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 31 ways as a sum of consecutive naturals, for example, 1639831 + ... + 1639913.

It is an arithmetic number, because the mean of its divisors is an integer number (1973580).

Almost surely, 2136109376 is an apocalyptic number.

136109376 is a gapful number since it is divisible by the number (16) 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 136109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221040960).

136109376 is an abundant number, since it is smaller than the sum of its proper divisors (305972544).

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

136109376 is a wasteful number, since it uses less digits than its factorization.

136109376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 136109376 is about 11666.5923045249. The cubic root of 136109376 is about 514.3941422177.

The spelling of 136109376 in words is "one hundred thirty-six million, one hundred nine thousand, three hundred seventy-six".