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135040878 = 23372997127
BaseRepresentation
bin10000000110010…
…00111101101110
3100102002210021000
420003020331232
5234032302003
621222221130
73226554120
oct1003107556
9312083230
10135040878
116a255235
12392847a6
1321c9205b
1413d13210
15bcc71a3
hex80c8f6e

135040878 has 128 divisors (see below), whose sum is σ = 361267200. Its totient is φ = 36578304.

The previous prime is 135040853. The next prime is 135040879. The reversal of 135040878 is 878040531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135040879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063251 + ... + 1063377.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 2135040878 is an apocalyptic number.

135040878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135040878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180633600).

135040878 is an abundant number, since it is smaller than the sum of its proper divisors (226226322).

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

135040878 is a wasteful number, since it uses less digits than its factorization.

135040878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135040878 is about 11620.7090145137. The cubic root of 135040878 is about 513.0445568494.

The spelling of 135040878 in words is "one hundred thirty-five million, forty thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 97 126 127 174 189 194 203 254 261 291 378 381 406 522 582 609 679 762 783 873 889 1143 1218 1358 1566 1746 1778 1827 2037 2286 2619 2667 2813 3429 3654 3683 4074 5238 5334 5481 5626 6111 6858 7366 8001 8439 10962 11049 12222 12319 16002 16878 18333 19691 22098 24003 24638 25317 25781 33147 36666 36957 39382 48006 50634 51562 59073 66294 73914 75951 77343 86233 99441 110871 118146 151902 154686 172466 177219 198882 221742 232029 258699 332613 354438 357251 464058 517398 531657 665226 696087 714502 776097 1063314 1071753 1392174 1552194 2143506 2328291 2500757 3215259 4656582 5001514 6430518 7502271 9645777 15004542 19291554 22506813 45013626 67520439 135040878