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134850100 = 225271183211
BaseRepresentation
bin10000000100110…
…10011000110100
3100101202002120011
420002122120310
5234010200400
621214150004
73225130660
oct1002323064
9311662504
10134850100
116a134970
12391b2304
1321c26278
1413ca38a0
15bc8a8ba
hex809a634

134850100 has 144 divisors (see below), whose sum is σ = 370976256. Its totient is φ = 41328000.

The previous prime is 134850083. The next prime is 134850101. The reversal of 134850100 is 1058431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134850101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638995 + ... + 639205.

It is an arithmetic number, because the mean of its divisors is an integer number (2576224).

Almost surely, 2134850100 is an apocalyptic number.

134850100 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 134850100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185488128).

134850100 is an abundant number, since it is smaller than the sum of its proper divisors (236126156).

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

134850100 is a wasteful number, since it uses less digits than its factorization.

134850100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 134850100 is about 11612.4975780407. The cubic root of 134850100 is about 512.8028430215.

The spelling of 134850100 in words is "one hundred thirty-four million, eight hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 83 100 110 140 154 166 175 211 220 275 308 332 350 385 415 422 550 581 700 770 830 844 913 1055 1100 1162 1477 1540 1660 1826 1925 2075 2110 2321 2324 2905 2954 3652 3850 4150 4220 4565 4642 5275 5810 5908 6391 7385 7700 8300 9130 9284 10550 11605 11620 12782 14525 14770 16247 17513 18260 21100 22825 23210 25564 29050 29540 31955 32494 35026 36925 45650 46420 58025 58100 63910 64988 70052 73850 81235 87565 91300 116050 122591 127820 147700 159775 162470 175130 192643 232100 245182 319550 324940 350260 385286 406175 437825 490364 612955 639100 770572 812350 875650 963215 1225910 1348501 1624700 1751300 1926430 2451820 2697002 3064775 3852860 4816075 5394004 6129550 6742505 9632150 12259100 13485010 19264300 26970020 33712525 67425050 134850100