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136154016 = 25322332029
BaseRepresentation
bin10000001110110…
…00101110100000
3100111012100012100
420013120232200
5234323412031
621302130400
73242201325
oct1007305640
9314170170
10136154016
116a945589
1239720a00
132229190b
1414122b4c
15be46de6
hex81d8ba0

136154016 has 72 divisors (see below), whose sum is σ = 389041380. Its totient is φ = 45167616.

The previous prime is 136153993. The next prime is 136154021. The reversal of 136154016 is 610451631.

136154016 is a `hidden beast` number, since 1 + 3 + 615 + 40 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131331600 + 4822416 = 11460^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 66090 + ... + 68118.

Almost surely, 2136154016 is an apocalyptic number.

136154016 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 136154016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194520690).

136154016 is an abundant number, since it is smaller than the sum of its proper divisors (252887364).

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

136154016 is a wasteful number, since it uses less digits than its factorization.

136154016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 136154016 is about 11668.5053027369. The cubic root of 136154016 is about 514.4503716152.

The spelling of 136154016 in words is "one hundred thirty-six million, one hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 1398 1864 2029 2097 2796 3728 4058 4194 5592 6087 7456 8116 8388 11184 12174 16232 16776 18261 22368 24348 32464 33552 36522 48696 64928 67104 73044 97392 146088 194784 292176 472757 584352 945514 1418271 1891028 2836542 3782056 4254813 5673084 7564112 8509626 11346168 15128224 17019252 22692336 34038504 45384672 68077008 136154016