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135052134 = 2373137479
BaseRepresentation
bin10000000110010…
…11101101100110
3100102010100200220
420003023231212
5234033132014
621222345210
73226632000
oct1003135546
9312110626
10135052134
116a262738
123928b206
1321c97209
1413d17370
15bcca6a9
hex80cbb66

135052134 has 64 divisors (see below), whose sum is σ = 317952000. Its totient is φ = 38224704.

The previous prime is 135052129. The next prime is 135052157. The reversal of 135052134 is 431250531.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 281707 + ... + 282185.

It is an arithmetic number, because the mean of its divisors is an integer number (4968000).

Almost surely, 2135052134 is an apocalyptic number.

135052134 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 135052134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158976000).

135052134 is an abundant number, since it is smaller than the sum of its proper divisors (182899866).

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

135052134 is a wasteful number, since it uses less digits than its factorization.

135052134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135052134 is about 11621.1933122206. The cubic root of 135052134 is about 513.0588109755.

The spelling of 135052134 in words is "one hundred thirty-five million, fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 137 147 274 294 343 411 479 686 822 958 959 1029 1437 1918 2058 2874 2877 3353 5754 6706 6713 10059 13426 20118 20139 23471 40278 46942 46991 65623 70413 93982 131246 140826 140973 164297 196869 281946 328594 393738 459361 492891 918722 985782 1378083 2756166 3215527 6431054 9646581 19293162 22508689 45017378 67526067 135052134