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136478464 = 286773109
BaseRepresentation
bin10000010001001…
…11111100000000
3100111210211020221
420020213330000
5234414302324
621313112424
73245022253
oct1010477400
9314724227
10136478464
1170047321
1239858714
13223764b5
14141a909a
15bead0e4
hex8227f00

136478464 has 72 divisors (see below), whose sum is σ = 282848720. Its totient is φ = 65691648.

The previous prime is 136478449. The next prime is 136478471. The reversal of 136478464 is 464874631.

It is a super-4 number, since 4×1364784644 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 136478464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252042 + ... + 1252150.

Almost surely, 2136478464 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 136478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141424360).

136478464 is an abundant number, since it is smaller than the sum of its proper divisors (146370256).

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

136478464 is an equidigital number, since it uses as much as digits as its factorization.

136478464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The square root of 136478464 is about 11682.3997534753. The cubic root of 136478464 is about 514.8586836946.

The spelling of 136478464 in words is "one hundred thirty-six million, four hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 67 73 109 128 134 146 218 256 268 292 436 536 584 872 1072 1168 1744 2144 2336 3488 4288 4672 4891 6976 7303 7957 8576 9344 9782 13952 14606 15914 17152 18688 19564 27904 29212 31828 39128 58424 63656 78256 116848 127312 156512 233696 254624 313024 467392 509248 533119 626048 934784 1018496 1066238 1252096 1869568 2036992 2132476 4264952 8529904 17059808 34119616 68239232 136478464