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134353120 = 25511233319
BaseRepresentation
bin10000000001000…
…01000011100000
3100100210211211111
420000201003200
5233343244440
621155353104
73220661026
oct1000410340
9310724744
10134353120
1169925540
1238bb2794
1321ab0cb5
1413bb4716
15bbdd4ea
hex80210e0

134353120 has 96 divisors (see below), whose sum is σ = 361428480. Its totient is φ = 46717440.

The previous prime is 134353111. The next prime is 134353127. The reversal of 134353120 is 21353431.

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

It is a junction number, because it is equal to n+sod(n) for n = 134353091 and 134353100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134353127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38821 + ... + 42139.

It is an arithmetic number, because the mean of its divisors is an integer number (3764880).

Almost surely, 2134353120 is an apocalyptic number.

134353120 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 134353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180714240).

134353120 is an abundant number, since it is smaller than the sum of its proper divisors (227075360).

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

134353120 is a wasteful number, since it uses less digits than its factorization.

134353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 134353120 is about 11591.0793285181. The cubic root of 134353120 is about 512.1721019745.

The spelling of 134353120 in words is "one hundred thirty-four million, three hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3319 3680 4048 5060 6638 8096 10120 13276 16595 20240 26552 33190 36509 40480 53104 66380 73018 76337 106208 132760 146036 152674 182545 265520 292072 305348 365090 381685 531040 584144 610696 730180 763370 839707 1168288 1221392 1460360 1526740 1679414 2442784 2920720 3053480 3358828 4198535 5841440 6106960 6717656 8397070 12213920 13435312 16794140 26870624 33588280 67176560 134353120