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134877792 = 2537253541
BaseRepresentation
bin10000000101000…
…01001001100000
3100101210111112210
420002201021200
5234012042132
621214522120
73225304500
oct1002411140
9311714483
10134877792
116a153755
1239206340
1321c35a5a
1413cada00
15bc93bcc
hex80a1260

134877792 has 144 divisors (see below), whose sum is σ = 420405552. Its totient is φ = 37739520.

The previous prime is 134877791. The next prime is 134877797. The reversal of 134877792 is 297778431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134877791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249042 + ... + 249582.

It is an arithmetic number, because the mean of its divisors is an integer number (2919483).

Almost surely, 2134877792 is an apocalyptic number.

134877792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134877792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210202776).

134877792 is an abundant number, since it is smaller than the sum of its proper divisors (285527760).

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

134877792 is a wasteful number, since it uses less digits than its factorization.

134877792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its digits is 592704, while the sum is 48.

The square root of 134877792 is about 11613.6898529279. The cubic root of 134877792 is about 512.8379426479.

The spelling of 134877792 in words is "one hundred thirty-four million, eight hundred seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 84 96 98 106 112 147 159 168 196 212 224 294 318 336 371 392 424 541 588 636 672 742 784 848 1082 1113 1176 1272 1484 1568 1623 1696 2164 2226 2352 2544 2597 2968 3246 3787 4328 4452 4704 5088 5194 5936 6492 7574 7791 8656 8904 10388 11361 11872 12984 15148 15582 17312 17808 20776 22722 25968 26509 28673 30296 31164 35616 41552 45444 51936 53018 57346 60592 62328 79527 83104 86019 90888 106036 114692 121184 124656 159054 172038 181776 200711 212072 229384 249312 318108 344076 363552 401422 424144 458768 602133 636216 688152 802844 848288 917536 1204266 1272432 1376304 1404977 1605688 2408532 2544864 2752608 2809954 3211376 4214931 4817064 5619908 6422752 8429862 9634128 11239816 16859724 19268256 22479632 33719448 44959264 67438896 134877792