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136369152 = 2103214797
BaseRepresentation
bin10000010000011…
…01010000000000
3100111121021022100
420020031100000
5234402303102
621310510400
73244055463
oct1010152000
9314537270
10136369152
116aa82187
1239805400
132233880a
141417b2da
15be8aa1c
hex820d400

136369152 has 66 divisors (see below), whose sum is σ = 393789578. Its totient is φ = 45453312.

The previous prime is 136369141. The next prime is 136369193. The reversal of 136369152 is 251963631.

136369152 is a `hidden beast` number, since 1 + 3 + 636 + 9 + 15 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109495296 + 26873856 = 10464^2 + 5184^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1818 + ... + 16614.

Almost surely, 2136369152 is an apocalyptic number.

136369152 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 136369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196894789).

136369152 is an abundant number, since it is smaller than the sum of its proper divisors (257420426).

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

136369152 is a wasteful number, since it uses less digits than its factorization.

136369152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14823 (or 14802 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 136369152 is about 11677.7203254745. The cubic root of 136369152 is about 514.7211888272.

The spelling of 136369152 in words is "one hundred thirty-six million, three hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 14797 29594 44391 59188 88782 118376 133173 177564 236752 266346 355128 473504 532692 710256 947008 1065384 1420512 1894016 2130768 2841024 3788032 4261536 5682048 7576064 8523072 11364096 15152128 17046144 22728192 34092288 45456384 68184576 136369152