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134252100 = 223352192617
BaseRepresentation
bin10000000000010…
…00011001000100
3100100121201021000
420000020121010
5233332031400
621153253300
73220060353
oct1000103104
9310551230
10134252100
1169866654
1238b64230
1321a77018
1413b8999a
15bbbd600
hex8008644

134252100 has 144 divisors (see below), whose sum is σ = 454484800. Its totient is φ = 33903360.

The previous prime is 134252093. The next prime is 134252123. The reversal of 134252100 is 1252431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49992 + ... + 52608.

Almost surely, 2134252100 is an apocalyptic number.

134252100 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 134252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227242400).

134252100 is an abundant number, since it is smaller than the sum of its proper divisors (320232700).

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

134252100 is a wasteful number, since it uses less digits than its factorization.

134252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 134252100 is about 11586.7208475910. The cubic root of 134252100 is about 512.0437025277.

The spelling of 134252100 in words is "one hundred thirty-four million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2617 2700 2850 3420 4275 5130 5234 5700 7851 8550 10260 10468 12825 13085 15702 17100 23553 25650 26170 31404 39255 47106 49723 51300 52340 65425 70659 78510 94212 99446 117765 130850 141318 149169 157020 196275 198892 235530 248615 261700 282636 298338 353295 392550 447507 471060 497230 588825 596676 706590 745845 785100 895014 994460 1177650 1243075 1342521 1413180 1491690 1766475 1790028 2237535 2355300 2486150 2685042 2983380 3532950 3729225 4475070 4972300 5370084 6712605 7065900 7458450 8950140 11187675 13425210 14916900 22375350 26850420 33563025 44750700 67126050 134252100