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134372520 = 2334567619
BaseRepresentation
bin10000000001001…
…01110010101000
3100100211211110000
420000211302220
5233344410040
621200023000
73221101422
oct1000456250
9310754400
10134372520
1169939077
1239001a60
1321ab9a89
1413bbb812
15bbe4130
hex8025ca8

134372520 has 160 divisors (see below), whose sum is σ = 459122400. Its totient is φ = 35240832.

The previous prime is 134372489. The next prime is 134372527. The reversal of 134372520 is 25273431.

134372520 is a `hidden beast` number, since 134 + 3 + 7 + 2 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134372527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216771 + ... + 217389.

It is an arithmetic number, because the mean of its divisors is an integer number (2869515).

Almost surely, 2134372520 is an apocalyptic number.

134372520 is a gapful number since it is divisible by the number (10) 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 134372520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229561200).

134372520 is an abundant number, since it is smaller than the sum of its proper divisors (324749880).

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

134372520 is a wasteful number, since it uses less digits than its factorization.

134372520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 134372520 is about 11591.9161487651. The cubic root of 134372520 is about 512.1967525881.

The spelling of 134372520 in words is "one hundred thirty-four million, three hundred seventy-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 81 90 108 120 134 135 162 180 201 216 268 270 324 335 360 402 405 536 540 603 619 648 670 804 810 1005 1080 1206 1238 1340 1608 1620 1809 1857 2010 2412 2476 2680 3015 3095 3240 3618 3714 4020 4824 4952 5427 5571 6030 6190 7236 7428 8040 9045 9285 10854 11142 12060 12380 14472 14856 16713 18090 18570 21708 22284 24120 24760 27135 27855 33426 36180 37140 41473 43416 44568 50139 54270 55710 66852 72360 74280 82946 83565 100278 108540 111420 124419 133704 165892 167130 200556 207365 217080 222840 248838 250695 331784 334260 373257 401112 414730 497676 501390 622095 668520 746514 829460 995352 1002780 1119771 1244190 1493028 1658920 1866285 2005560 2239542 2488380 2986056 3359313 3732570 4479084 4976760 5598855 6718626 7465140 8958168 11197710 13437252 14930280 16796565 22395420 26874504 33593130 44790840 67186260 134372520