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134926800 = 24352229491
BaseRepresentation
bin10000000101011…
…01000111010000
3100101212222202220
420002231013100
5234020124200
621215541040
73225600411
oct1002550720
9311788686
10134926800
116a187558
123922a780
1321c52158
1413cc3808
15bca34a0
hex80ad1d0

134926800 has 120 divisors (see below), whose sum is σ = 434987040. Its totient is φ = 35750400.

The previous prime is 134926789. The next prime is 134926829. The reversal of 134926800 is 8629431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274555 + ... + 275045.

It is an arithmetic number, because the mean of its divisors is an integer number (3624892).

Almost surely, 2134926800 is an apocalyptic number.

134926800 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 134926800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217493520).

134926800 is an abundant number, since it is smaller than the sum of its proper divisors (300060240).

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

134926800 is a wasteful number, since it uses less digits than its factorization.

134926800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 134926800 is about 11615.7995850479. The cubic root of 134926800 is about 512.9000485441.

The spelling of 134926800 in words is "one hundred thirty-four million, nine hundred twenty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 229 240 300 400 458 491 600 687 916 982 1145 1200 1374 1473 1832 1964 2290 2455 2748 2946 3435 3664 3928 4580 4910 5496 5725 5892 6870 7365 7856 9160 9820 10992 11450 11784 12275 13740 14730 17175 18320 19640 22900 23568 24550 27480 29460 34350 36825 39280 45800 49100 54960 58920 68700 73650 91600 98200 112439 117840 137400 147300 196400 224878 274800 294600 337317 449756 562195 589200 674634 899512 1124390 1349268 1686585 1799024 2248780 2698536 2810975 3373170 4497560 5397072 5621950 6746340 8432925 8995120 11243900 13492680 16865850 22487800 26985360 33731700 44975600 67463400 134926800