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134890752 = 2833747101
BaseRepresentation
bin10000000101001…
…00010100000000
3100101211011022210
420002210110000
5234013001002
621215102120
73225360333
oct1002442400
9311734283
10134890752
116a162467
1239211940
1321c3b919
1413cb461a
15bc9796c
hex80a4500

134890752 has 144 divisors (see below), whose sum is σ = 380282112. Its totient is φ = 42393600.

The previous prime is 134890741. The next prime is 134890753. The reversal of 134890752 is 257098431.

It is a self number, because there is not a number n which added to its sum of digits gives 134890752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134890753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335502 + ... + 1335602.

It is an arithmetic number, because the mean of its divisors is an integer number (2640848).

Almost surely, 2134890752 is an apocalyptic number.

134890752 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 134890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190141056).

134890752 is an abundant number, since it is smaller than the sum of its proper divisors (245391360).

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

134890752 is a wasteful number, since it uses less digits than its factorization.

134890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 134890752 is about 11614.2478017304. The cubic root of 134890752 is about 512.8543678053.

The spelling of 134890752 in words is "one hundred thirty-four million, eight hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 47 48 64 74 94 96 101 111 128 141 148 188 192 202 222 256 282 296 303 376 384 404 444 564 592 606 752 768 808 888 1128 1184 1212 1504 1616 1739 1776 2256 2368 2424 3008 3232 3478 3552 3737 4512 4736 4747 4848 5217 6016 6464 6956 7104 7474 9024 9472 9494 9696 10434 11211 12032 12928 13912 14208 14241 14948 18048 18988 19392 20868 22422 25856 27824 28416 28482 29896 36096 37976 38784 41736 44844 55648 56964 59792 75952 77568 83472 89688 111296 113928 119584 151904 166944 175639 179376 222592 227856 239168 303808 333888 351278 358752 445184 455712 478336 526917 607616 667776 702556 717504 911424 956672 1053834 1215232 1335552 1405112 1435008 1822848 2107668 2810224 2870016 3645696 4215336 5620448 8430672 11240896 16861344 22481792 33722688 44963584 67445376 134890752