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134756220 = 223537101601
BaseRepresentation
bin10000000100000…
…11011101111100
3100101120022210010
420002003131330
5233444144340
621212143220
73224260164
oct1002033574
9311508703
10134756220
116a080385
1239167b10
1321bc2611
1413c7b5a4
15bc6cb80
hex808377c

134756220 has 96 divisors (see below), whose sum is σ = 392003136. Its totient is φ = 34560000.

The previous prime is 134756207. The next prime is 134756261. The reversal of 134756220 is 22657431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223920 + ... + 224520.

It is an arithmetic number, because the mean of its divisors is an integer number (4083366).

Almost surely, 2134756220 is an apocalyptic number.

134756220 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 134756220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196001568).

134756220 is an abundant number, since it is smaller than the sum of its proper divisors (257246916).

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

134756220 is a wasteful number, since it uses less digits than its factorization.

134756220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 134756220 is about 11608.4546775185. The cubic root of 134756220 is about 512.6838142949.

The spelling of 134756220 in words is "one hundred thirty-four million, seven hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 101 111 148 185 202 222 303 370 404 444 505 555 601 606 740 1010 1110 1202 1212 1515 1803 2020 2220 2404 3005 3030 3606 3737 6010 6060 7212 7474 9015 11211 12020 14948 18030 18685 22237 22422 36060 37370 44474 44844 56055 60701 66711 74740 88948 111185 112110 121402 133422 182103 222370 224220 242804 266844 303505 333555 364206 444740 607010 667110 728412 910515 1214020 1334220 1821030 2245937 3642060 4491874 6737811 8983748 11229685 13475622 22459370 26951244 33689055 44918740 67378110 134756220