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134225920 = 213529113
BaseRepresentation
bin10000000000000…
…10000000000000
3100100120101100101
420000002000000
5233330212140
621152532144
73216621133
oct1000020000
9310511311
10134225920
1169848a14
1238b51054
1321a6812a
1413b8021a
15bbb599a
hex8002000

134225920 has 112 divisors (see below), whose sum is σ = 336179160. Its totient is φ = 51380224.

The previous prime is 134225909. The next prime is 134225929. The reversal of 134225920 is 29522431.

134225920 is a nontrivial binomial coefficient, being equal to C(16385, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 68161536 + 66064384 = 8256^2 + 8128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134225929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187784 + ... + 1187896.

Almost surely, 2134225920 is an apocalyptic number.

134225920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134225920 is the 16384-th triangular number.

134225920 is the 5462-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168089580).

134225920 is an abundant number, since it is smaller than the sum of its proper divisors (201953240).

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

134225920 is an equidigital number, since it uses as much as digits as its factorization.

134225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 134225920 is about 11585.5910509564. The cubic root of 134225920 is about 512.0104164547.

The spelling of 134225920 in words is "one hundred thirty-four million, two hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 113 116 128 145 160 226 232 256 290 320 452 464 512 565 580 640 904 928 1024 1130 1160 1280 1808 1856 2048 2260 2320 2560 3277 3616 3712 4096 4520 4640 5120 6554 7232 7424 8192 9040 9280 10240 13108 14464 14848 16385 18080 18560 20480 26216 28928 29696 32770 36160 37120 40960 52432 57856 59392 65540 72320 74240 104864 115712 118784 131080 144640 148480 209728 231424 237568 262160 289280 296960 419456 462848 524320 578560 593920 838912 925696 1048640 1157120 1187840 1677824 2097280 2314240 3355648 4194560 4628480 6711296 8389120 13422592 16778240 26845184 33556480 67112960 134225920