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134423633136 = 243137315119543
BaseRepresentation
bin111110100110001000…
…1011101110011110000
3110211222012210002111010
41331030101131303300
54200244422230021
6141430420550520
712466100012652
oct1751421356360
9424865702433
10134423633136
1152010700191
1222076252440
13c8a34c0830
146712bb66d2
15376b3b9976
hex1f4c45dcf0

134423633136 has 160 divisors (see below), whose sum is σ = 381626463232. Its totient is φ = 40522291200.

The previous prime is 134423633111. The next prime is 134423633167. The reversal of 134423633136 is 631336324431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134423633094 and 134423633103.

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, 6868581 + ... + 6888123.

Almost surely, 2134423633136 is an apocalyptic number.

134423633136 is a gapful number since it is divisible by the number (16) 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 134423633136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190813231616).

134423633136 is an abundant number, since it is smaller than the sum of its proper divisors (247202830096).

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

134423633136 is a wasteful number, since it uses less digits than its factorization.

134423633136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19791 (or 19785 counting only the distinct ones).

The product of its digits is 279936, while the sum is 39.

Adding to 134423633136 its reverse (631336324431), we get a palindrome (765759957567).

The spelling of 134423633136 in words is "one hundred thirty-four billion, four hundred twenty-three million, six hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 151 156 208 219 292 302 312 438 453 584 604 624 876 906 949 1168 1208 1752 1812 1898 1963 2416 2847 3504 3624 3796 3926 5694 5889 7248 7592 7852 11023 11388 11778 15184 15704 19543 22046 22776 23556 31408 33069 39086 44092 45552 47112 58629 66138 78172 88184 94224 117258 132276 143299 156344 176368 234516 254059 264552 286598 312688 429897 469032 508118 529104 573196 762177 859794 938064 1016236 1146392 1426639 1524354 1719588 2032472 2292784 2853278 2950993 3048708 3439176 4064944 4279917 5706556 5901986 6097416 6878352 8559834 8852979 11413112 11803972 12194832 17119668 17705958 18546307 22826224 23607944 34239336 35411916 37092614 38362909 47215888 55638921 68478672 70823832 74185228 76725818 111277842 115088727 141647664 148370456 153451636 215422489 222555684 230177454 296740912 306903272 430844978 445111368 460354908 613806544 646267467 861689956 890222736 920709816 1292534934 1723379912 1841419632 2585069868 2800492357 3446759824 5170139736 5600984714 8401477071 10340279472 11201969428 16802954142 22403938856 33605908284 44807877712 67211816568 134423633136