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134142720 = 2835181193
BaseRepresentation
bin1111111111011…
…01101100000000
3100100102011012220
413333231230000
5233320031340
621151051040
73216123435
oct777555400
9310364186
10134142720
11697a1458
1238b10a80
1321a392ba
1413b5bb8c
15bb9aed0
hex7fedb00

134142720 has 144 divisors (see below), whose sum is σ = 433017312. Its totient is φ = 35389440.

The previous prime is 134142713. The next prime is 134142731. The reversal of 134142720 is 27241431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694944 + ... + 695136.

Almost surely, 2134142720 is an apocalyptic number.

134142720 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 134142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216508656).

134142720 is an abundant number, since it is smaller than the sum of its proper divisors (298874592).

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

134142720 is a wasteful number, since it uses less digits than its factorization.

134142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 134142720 is about 11581.9998273183. Note that the first 3 decimals coincide. The cubic root of 134142720 is about 511.9046046230.

The spelling of 134142720 in words is "one hundred thirty-four million, one hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 181 192 193 240 256 320 362 384 386 480 543 579 640 724 768 772 905 960 965 1086 1158 1280 1448 1544 1810 1920 1930 2172 2316 2715 2895 2896 3088 3620 3840 3860 4344 4632 5430 5790 5792 6176 7240 7720 8688 9264 10860 11580 11584 12352 14480 15440 17376 18528 21720 23160 23168 24704 28960 30880 34752 34933 37056 43440 46320 46336 49408 57920 61760 69504 69866 74112 86880 92640 104799 115840 123520 139008 139732 148224 173760 174665 185280 209598 231680 247040 279464 347520 349330 370560 419196 523995 558928 695040 698660 741120 838392 1047990 1117856 1397320 1676784 2095980 2235712 2794640 3353568 4191960 4471424 5589280 6707136 8383920 8942848 11178560 13414272 16767840 22357120 26828544 33535680 44714240 67071360 134142720