Search a number
-
+
135091278 = 23271576829
BaseRepresentation
bin10000000110101…
…01010001001110
3100102012100101200
420003111101032
5234040410103
621223250330
73230154060
oct1003252116
9312170350
10135091278
116a28a093
12392a99a6
1321cabc8a
1413d27730
15bcd70a3
hex80d544e

135091278 has 48 divisors (see below), whose sum is σ = 336691680. Its totient is φ = 38346048.

The previous prime is 135091267. The next prime is 135091289. The reversal of 135091278 is 872190531.

It is an interprime number because it is at equal distance from previous prime (135091267) and next prime (135091289).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16368 + ... + 23196.

It is an arithmetic number, because the mean of its divisors is an integer number (7014410).

Almost surely, 2135091278 is an apocalyptic number.

135091278 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 135091278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168345840).

135091278 is an abundant number, since it is smaller than the sum of its proper divisors (201600402).

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

135091278 is a wasteful number, since it uses less digits than its factorization.

135091278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 135091278 is about 11622.8773545968. The cubic root of 135091278 is about 513.1083751289.

The spelling of 135091278 in words is "one hundred thirty-five million, ninety-one thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 157 314 471 942 1099 1413 2198 2826 3297 6594 6829 9891 13658 19782 20487 40974 47803 61461 95606 122922 143409 286818 430227 860454 1072153 2144306 3216459 6432918 7505071 9649377 15010142 19298754 22515213 45030426 67545639 135091278