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136377216 = 273339461
BaseRepresentation
bin10000010000011…
…11001110000000
3100111121200101000
420020033032000
5234403032331
621311012000
73244121133
oct1010171600
9314550330
10136377216
116aa88248
123980a000
132233c3a1
141418021a
15be8d0e6
hex820f380

136377216 has 64 divisors (see below), whose sum is σ = 402512400. Its totient is φ = 45457920.

The previous prime is 136377191. The next prime is 136377229. The reversal of 136377216 is 612773631.

136377216 is a `hidden beast` number, since 1 + 3 + 637 + 7 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 16275 + ... + 23186.

Almost surely, 2136377216 is an apocalyptic number.

136377216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136377216 is an abundant number, since it is smaller than the sum of its proper divisors (266135184).

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

136377216 is an equidigital number, since it uses as much as digits as its factorization.

136377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39484 (or 39466 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 136377216 is about 11678.0655932393. The cubic root of 136377216 is about 514.7313344009.

The spelling of 136377216 in words is "one hundred thirty-six million, three hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 39461 78922 118383 157844 236766 315688 355149 473532 631376 710298 947064 1065447 1262752 1420596 1894128 2130894 2525504 2841192 3788256 4261788 5051008 5682384 7576512 8523576 11364768 15153024 17047152 22729536 34094304 45459072 68188608 136377216