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134036880 = 24355471021
BaseRepresentation
bin1111111110100…
…11110110010000
3100100012210000220
413333103312100
5233303140010
621144513040
73215203035
oct777236620
9310183026
10134036880
116972998a
1238a7b780
1321a00083
1413b3138c
15bb79970
hex7fd3d90

134036880 has 80 divisors (see below), whose sum is σ = 416681664. Its totient is φ = 35642880.

The previous prime is 134036879. The next prime is 134036897. The reversal of 134036880 is 88630431.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130770 + ... + 131790.

Almost surely, 2134036880 is an apocalyptic number.

134036880 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 134036880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208340832).

134036880 is an abundant number, since it is smaller than the sum of its proper divisors (282644784).

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

134036880 is a wasteful number, since it uses less digits than its factorization.

134036880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 134036880 is about 11577.4297665760. The cubic root of 134036880 is about 511.7699365144.

The spelling of 134036880 in words is "one hundred thirty-four million, thirty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 547 1021 1094 1641 2042 2188 2735 3063 3282 4084 4376 5105 5470 6126 6564 8168 8205 8752 10210 10940 12252 13128 15315 16336 16410 20420 21880 24504 26256 30630 32820 40840 43760 49008 61260 65640 81680 122520 131280 245040 558487 1116974 1675461 2233948 2792435 3350922 4467896 5584870 6701844 8377305 8935792 11169740 13403688 16754610 22339480 26807376 33509220 44678960 67018440 134036880