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136275414 = 231123107839
BaseRepresentation
bin10000001111101…
…10010111010110
3100111102111201120
420013312113112
5234341303124
621304504410
73243215262
oct1007662726
9314374646
10136275414
116aa18810
123977b106
1322304c52
14141550a2
15be6cd79
hex81f65d6

136275414 has 64 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 39084320.

The previous prime is 136275389. The next prime is 136275421. The reversal of 136275414 is 414572631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162007 + ... + 162845.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2136275414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136275414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

136275414 is an abundant number, since it is smaller than the sum of its proper divisors (177252906).

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

136275414 is a wasteful number, since it uses less digits than its factorization.

136275414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985.

The product of its digits is 20160, while the sum is 33.

The square root of 136275414 is about 11673.7060953238. The cubic root of 136275414 is about 514.6032247239.

The spelling of 136275414 in words is "one hundred thirty-six million, two hundred seventy-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 107 138 214 253 321 506 642 759 839 1177 1518 1678 2354 2461 2517 3531 4922 5034 7062 7383 9229 14766 18458 19297 27071 27687 38594 54142 55374 57891 81213 89773 115782 162426 179546 212267 269319 424534 538638 636801 987503 1273602 1975006 2064779 2962509 4129558 5925018 6194337 12388674 22712569 45425138 68137707 136275414