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134211896 = 237131931313
BaseRepresentation
bin1111111111111…
…10100100111000
3100100112200002222
413333332210320
5233324240041
621152343212
73216532220
oct777764470
9310480088
10134211896
1169839425
1238b44b08
1321a61930
1413b79080
15bbb174b
hex7ffe938

134211896 has 128 divisors (see below), whose sum is σ = 337612800. Its totient is φ = 48522240.

The previous prime is 134211863. The next prime is 134211907. The reversal of 134211896 is 698112431.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 134211896 = 1163 + 5103 = 3663 + 4403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428636 + ... + 428948.

It is an arithmetic number, because the mean of its divisors is an integer number (2637600).

Almost surely, 2134211896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134211896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168806400).

134211896 is an abundant number, since it is smaller than the sum of its proper divisors (203400904).

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

134211896 is a wasteful number, since it uses less digits than its factorization.

134211896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 134211896 is about 11584.9858005955. The cubic root of 134211896 is about 511.9925841211.

The spelling of 134211896 in words is "one hundred thirty-four million, two hundred eleven thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 19 26 28 31 38 52 56 62 76 91 104 124 133 152 182 217 247 248 266 313 364 403 434 494 532 589 626 728 806 868 988 1064 1178 1252 1612 1729 1736 1976 2191 2356 2504 2821 3224 3458 4069 4123 4382 4712 5642 5947 6916 7657 8138 8246 8764 9703 11284 11894 13832 15314 16276 16492 17528 19406 22568 23788 28483 30628 32552 32984 38812 41629 47576 53599 56966 61256 67921 77311 77624 83258 107198 113932 126139 135842 154622 166516 184357 214396 227864 252278 271684 309244 333032 368714 428792 504556 541177 543368 618488 737428 882973 1009112 1082354 1290499 1474856 1765946 2164708 2396641 2580998 3531892 4329416 4793282 5161996 7063784 9586564 10323992 16776487 19173128 33552974 67105948 134211896