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134768700 = 2232521113613
BaseRepresentation
bin10000000100001…
…10100000111100
3100101120221220100
420002012200330
5234000044300
621212321100
73224341443
oct1002064074
9311527810
10134768700
116a0897a0
1239173190
1321bc81c1
1413c81d5a
15bc71700
hex808683c

134768700 has 108 divisors (see below), whose sum is σ = 460861128. Its totient is φ = 32668800.

The previous prime is 134768671. The next prime is 134768759. The reversal of 134768700 is 7867431.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3094 + ... + 16706.

Almost surely, 2134768700 is an apocalyptic number.

134768700 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 134768700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230430564).

134768700 is an abundant number, since it is smaller than the sum of its proper divisors (326092428).

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

134768700 is a wasteful number, since it uses less digits than its factorization.

134768700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13644 (or 13634 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 134768700 is about 11608.9922043216. The cubic root of 134768700 is about 512.6996406429.

The spelling of 134768700 in words is "one hundred thirty-four million, seven hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 13613 27226 40839 54452 68065 81678 122517 136130 149743 163356 204195 245034 272260 299486 340325 408390 449229 490068 598972 612585 680650 748715 816780 898458 1020975 1225170 1347687 1361300 1497430 1796916 2041950 2246145 2450340 2695374 2994860 3062925 3743575 4083900 4492290 5390748 6125850 6738435 7487150 8984580 11230725 12251700 13476870 14974300 22461450 26953740 33692175 44922900 67384350 134768700