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134094720 = 2735211331
BaseRepresentation
bin1111111111000…
…01111110000000
3100100022201101010
413333201332000
5233312012340
621150040520
73215533464
oct777417600
9310281333
10134094720
1169769391
1238aa9140
1321a204b6
1413b484a4
15bb8bb80
hex7fe1f80

134094720 has 128 divisors (see below), whose sum is σ = 430750080. Its totient is φ = 35481600.

The previous prime is 134094707. The next prime is 134094731. The reversal of 134094720 is 27490431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a zygodrome in base 2.

It is a congruent number.

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, 404955 + ... + 405285.

It is an arithmetic number, because the mean of its divisors is an integer number (3365235).

Almost surely, 2134094720 is an apocalyptic number.

134094720 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 134094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215375040).

134094720 is an abundant number, since it is smaller than the sum of its proper divisors (296655360).

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

134094720 is a wasteful number, since it uses less digits than its factorization.

134094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 134094720 is about 11579.9274609127. The cubic root of 134094720 is about 511.8435394321.

The spelling of 134094720 in words is "one hundred thirty-four million, ninety-four 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 96 120 128 160 192 211 240 320 331 384 422 480 633 640 662 844 960 993 1055 1266 1324 1655 1688 1920 1986 2110 2532 2648 3165 3310 3376 3972 4220 4965 5064 5296 6330 6620 6752 7944 8440 9930 10128 10592 12660 13240 13504 15888 16880 19860 20256 21184 25320 26480 27008 31776 33760 39720 40512 42368 50640 52960 63552 67520 69841 79440 81024 101280 105920 127104 135040 139682 158880 202560 209523 211840 279364 317760 349205 405120 419046 558728 635520 698410 838092 1047615 1117456 1396820 1676184 2095230 2234912 2793640 3352368 4190460 4469824 5587280 6704736 8380920 8939648 11174560 13409472 16761840 22349120 26818944 33523680 44698240 67047360 134094720