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134870880 = 2535299689
BaseRepresentation
bin10000000100111…
…11011101100000
3100101210011001210
420002133131200
5234011332010
621214430120
73225245364
oct1002373540
9311704053
10134870880
116a149541
1239202340
1321c32871
1413cab2a4
15bc91b20
hex809f760

134870880 has 96 divisors (see below), whose sum is σ = 439538400. Its totient is φ = 34721792.

The previous prime is 134870831. The next prime is 134870893. The reversal of 134870880 is 88078431.

It is a tau number, because it is divible by the number of its divisors (96).

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, 9076 + ... + 18764.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2134870880 is an apocalyptic number.

134870880 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 134870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

134870880 is an abundant number, since it is smaller than the sum of its proper divisors (304667520).

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

134870880 is a wasteful number, since it uses less digits than its factorization.

134870880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9736 (or 9728 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 134870880 is about 11613.3922692726. The cubic root of 134870880 is about 512.8291821338.

The spelling of 134870880 in words is "one hundred thirty-four million, eight hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 9689 13920 19378 29067 38756 48445 58134 77512 96890 116268 145335 155024 193780 232536 280981 290670 310048 387560 465072 561962 581340 775120 842943 930144 1123924 1162680 1404905 1550240 1685886 2247848 2325360 2809810 3371772 4214715 4495696 4650720 5619620 6743544 8429430 8991392 11239240 13487088 16858860 22478480 26974176 33717720 44956960 67435440 134870880