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134904180 = 223517196961
BaseRepresentation
bin10000000101001…
…11100101110100
3100101211211202010
420002213211310
5234013413210
621215244220
73225444435
oct1002474564
9311754663
10134904180
116a171564
1239219670
1321c44a78
1413cb948c
15bc9b920
hex80a7974

134904180 has 96 divisors (see below), whose sum is σ = 421061760. Its totient is φ = 32071680.

The previous prime is 134904169. The next prime is 134904233. The reversal of 134904180 is 81409431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15900 + ... + 22860.

It is an arithmetic number, because the mean of its divisors is an integer number (4386060).

Almost surely, 2134904180 is an apocalyptic number.

134904180 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 134904180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210530880).

134904180 is an abundant number, since it is smaller than the sum of its proper divisors (286157580).

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

134904180 is a wasteful number, since it uses less digits than its factorization.

134904180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 134904180 is about 11614.8258704123. The cubic root of 134904180 is about 512.8713849836.

The spelling of 134904180 in words is "one hundred thirty-four million, nine hundred four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3876 4845 6460 6961 9690 13922 19380 20883 27844 34805 41766 69610 83532 104415 118337 132259 139220 208830 236674 264518 355011 396777 417660 473348 529036 591685 661295 710022 793554 1183370 1322590 1420044 1587108 1775055 1983885 2248403 2366740 2645180 3550110 3967770 4496806 6745209 7100220 7935540 8993612 11242015 13490418 22484030 26980836 33726045 44968060 67452090 134904180