Search a number
-
+
135010134 = 23271011032
BaseRepresentation
bin10000000110000…
…01011101010110
3100102001020002100
420003001131112
5234030311014
621221422530
73226365360
oct1003013526
9312036070
10135010134
116a234126
123926aa46
1321c8106c
1413d05d30
15bcbd009
hex80c1756

135010134 has 72 divisors (see below), whose sum is σ = 340930512. Its totient is φ = 37821600.

The previous prime is 135010123. The next prime is 135010147. The reversal of 135010134 is 431010531.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 1310727 + ... + 1310829.

It is an arithmetic number, because the mean of its divisors is an integer number (4735146).

Almost surely, 2135010134 is an apocalyptic number.

135010134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135010134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170465256).

135010134 is an abundant number, since it is smaller than the sum of its proper divisors (205920378).

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

135010134 is a wasteful number, since it uses less digits than its factorization.

135010134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135010134 is about 11619.3861283632. The cubic root of 135010134 is about 513.0056199013.

Adding to 135010134 its reverse (431010531), we get a palindrome (566020665).

The spelling of 135010134 in words is "one hundred thirty-five million, ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 103 126 202 206 303 309 606 618 707 721 909 927 1414 1442 1818 1854 2121 2163 4242 4326 6363 6489 10403 10609 12726 12978 20806 21218 31209 31827 62418 63654 72821 74263 93627 95481 145642 148526 187254 190962 218463 222789 436926 445578 655389 668367 1071509 1310778 1336734 2143018 3214527 6429054 7500563 9643581 15001126 19287162 22501689 45003378 67505067 135010134