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136064320 = 26571923139
BaseRepresentation
bin10000001110000…
…10110101000000
3100111000210011021
420013002311000
5234313024240
621300155224
73241345660
oct1007026500
9314023137
10136064320
116a894157
1239698b14
132225cb42
14140dc1a0
15be2a54a
hex81c2d40

136064320 has 224 divisors, whose sum is σ = 409651200. Its totient is φ = 41969664.

The previous prime is 136064309. The next prime is 136064333. The reversal of 136064320 is 23460631.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978811 + ... + 978949.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2136064320 is an apocalyptic number.

136064320 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 136064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

136064320 is an abundant number, since it is smaller than the sum of its proper divisors (273586880).

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

136064320 is a wasteful number, since it uses less digits than its factorization.

136064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 136064320 is about 11664.6611609596. The cubic root of 136064320 is about 514.3373763504.

The spelling of 136064320 in words is "one hundred thirty-six million, sixty-four thousand, three hundred twenty".