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136854499320 = 2337571121847
BaseRepresentation
bin111111101110100101…
…0011110111111111000
3111002020121212220000000
41333131022132333320
54220234222434240
6142511534513000
712613245023250
oct1773512367770
9432217786000
10136854499320
1153048884a00
1222634365760
13cb9ccc57a6
1468a398c960
15385e9db430
hex1fdd29eff8

136854499320 has 768 divisors, whose sum is σ = 580443494400. Its totient is φ = 28421902080.

The previous prime is 136854499307. The next prime is 136854499321. The reversal of 136854499320 is 23994458631.

136854499320 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 544 + 9 + 93 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136854499321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74094637 + ... + 74096483.

It is an arithmetic number, because the mean of its divisors is an integer number (755785800).

Almost surely, 2136854499320 is an apocalyptic number.

136854499320 is a gapful number since it is divisible by the number (10) 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 136854499320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290221747200).

136854499320 is an abundant number, since it is smaller than the sum of its proper divisors (443588995080).

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

136854499320 is a wasteful number, since it uses less digits than its factorization.

136854499320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 136854499320 in words is "one hundred thirty-six billion, eight hundred fifty-four million, four hundred ninety-nine thousand, three hundred twenty".