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136532968 = 231113235189
BaseRepresentation
bin10000010001101…
…01001111101000
3100111220121000121
420020311033220
5234423023333
621314213024
73245340205
oct1010651750
9314817017
10136532968
1170084270
1239884174
1322395250
14141c0cac
15bebe32d
hex82353e8

136532968 has 64 divisors (see below), whose sum is σ = 313891200. Its totient is φ = 54785280.

The previous prime is 136532953. The next prime is 136532969. The reversal of 136532968 is 869235631.

It is not an unprimeable number, because it can be changed into a prime (136532969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23718 + ... + 28906.

It is an arithmetic number, because the mean of its divisors is an integer number (4904550).

Almost surely, 2136532968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136532968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156945600).

136532968 is an abundant number, since it is smaller than the sum of its proper divisors (177358232).

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

136532968 is a wasteful number, since it uses less digits than its factorization.

136532968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5238 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 136532968 is about 11684.7322605184. The cubic root of 136532968 is about 514.9272125113.

The spelling of 136532968 in words is "one hundred thirty-six million, five hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 572 598 1012 1144 1196 2024 2392 3289 5189 6578 10378 13156 20756 26312 41512 57079 67457 114158 119347 134914 228316 238694 269828 456632 477388 539656 742027 954776 1312817 1484054 1551511 2625634 2968108 3103022 5251268 5936216 6206044 10502536 12412088 17066621 34133242 68266484 136532968