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136534320 = 243251329503
BaseRepresentation
bin10000010001101…
…01100100110000
3100111220122212200
420020311210300
5234423044240
621314223200
73245344146
oct1010654460
9314818780
10136534320
117008528a
1239884b00
1322395a50
14141c1596
15bebe930
hex8235930

136534320 has 240 divisors, whose sum is σ = 511842240. Its totient is φ = 32385024.

The previous prime is 136534301. The next prime is 136534339. The reversal of 136534320 is 23435631.

It is a happy number.

136534320 is a `hidden beast` number, since 1 + 3 + 653 + 4 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136534301) and next prime (136534339).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271189 + ... + 271691.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2136534320 is an apocalyptic number.

136534320 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 136534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

136534320 is an abundant number, since it is smaller than the sum of its proper divisors (375307920).

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

136534320 is a wasteful number, since it uses less digits than its factorization.

136534320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 136534320 is about 11684.7901136477. The cubic root of 136534320 is about 514.9289121723.

Adding to 136534320 its reverse (23435631), we get a palindrome (159969951).

The spelling of 136534320 in words is "one hundred thirty-six million, five hundred thirty-four thousand, three hundred twenty".