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136332960 = 25352353233
BaseRepresentation
bin10000010000001…
…00011010100000
3100111112102122220
420020010122200
5234400123320
621310031040
73243545121
oct1010043240
9314472586
10136332960
116aa57a75
12397a8480
13223251ba
141416c048
15be7ee40
hex82046a0

136332960 has 192 divisors, whose sum is σ = 458535168. Its totient is φ = 33972224.

The previous prime is 136332953. The next prime is 136332967. The reversal of 136332960 is 69233631.

It is an interprime number because it is at equal distance from previous prime (136332953) and next prime (136332967).

It is not an unprimeable number, because it can be changed into a prime (136332967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585004 + ... + 585236.

It is an arithmetic number, because the mean of its divisors is an integer number (2388204).

Almost surely, 2136332960 is an apocalyptic number.

136332960 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 136332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229267584).

136332960 is an abundant number, since it is smaller than the sum of its proper divisors (322202208).

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

136332960 is a wasteful number, since it uses less digits than its factorization.

136332960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 136332960 is about 11676.1706051256. The cubic root of 136332960 is about 514.6756495997.

The spelling of 136332960 in words is "one hundred thirty-six million, three hundred thirty-two thousand, nine hundred sixty".