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136270064 = 24783107137
BaseRepresentation
bin10000001111101…
…01000011110000
3100111102020101102
420013311003300
5234341120224
621304423532
73243163550
oct1007650360
9314366342
10136270064
116aa14797
1239777ba8
1322302698
1414153160
15be6b4ae
hex81f50f0

136270064 has 80 divisors (see below), whose sum is σ = 310480128. Its totient is φ = 56741376.

The previous prime is 136270063. The next prime is 136270067. The reversal of 136270064 is 460072631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136270063) 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, 994604 + ... + 994740.

Almost surely, 2136270064 is an apocalyptic number.

136270064 is a gapful number since it is divisible by the number (14) 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 136270064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155240064).

136270064 is an abundant number, since it is smaller than the sum of its proper divisors (174210064).

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

136270064 is a wasteful number, since it uses less digits than its factorization.

136270064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 136270064 is about 11673.4769456234. The cubic root of 136270064 is about 514.5964904123.

The spelling of 136270064 in words is "one hundred thirty-six million, two hundred seventy thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 83 107 112 137 166 214 274 332 428 548 581 664 749 856 959 1096 1162 1328 1498 1712 1918 2192 2324 2996 3836 4648 5992 7672 8881 9296 11371 11984 14659 15344 17762 22742 29318 35524 45484 58636 62167 71048 79597 90968 102613 117272 124334 142096 159194 181936 205226 234544 248668 318388 410452 497336 636776 820904 994672 1216697 1273552 1641808 2433394 4866788 8516879 9733576 17033758 19467152 34067516 68135032 136270064