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134325399420 = 2232513915533457
BaseRepresentation
bin111110100011001101…
…0101110111101111100
3110211201100221022011100
41331012122232331330
54200044300240140
6141412551253100
712463465025202
oct1750632567574
9424640838140
10134325399420
1151a702057a3
122204937a190
13c889047c84
146703b25072
153762963530
hex1f466aef7c

134325399420 has 144 divisors (see below), whose sum is σ = 410768074080. Its totient is φ = 35529228288.

The previous prime is 134325399419. The next prime is 134325399427. The reversal of 134325399420 is 24993523431.

134325399420 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 2 + 539 + 94 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134325399427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38854332 + ... + 38857788.

It is an arithmetic number, because the mean of its divisors is an integer number (2852556070).

Almost surely, 2134325399420 is an apocalyptic number.

134325399420 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 134325399420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205384037040).

134325399420 is an abundant number, since it is smaller than the sum of its proper divisors (276442674660).

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

134325399420 is a wasteful number, since it uses less digits than its factorization.

134325399420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 134325399420 in words is "one hundred thirty-four billion, three hundred twenty-five million, three hundred ninety-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1553 1668 2085 2502 2780 3106 3457 4170 4659 5004 6212 6255 6914 7765 8340 9318 10371 12510 13828 13977 15530 17285 18636 20742 23295 25020 27954 31060 31113 34570 41484 46590 51855 55908 62226 69140 69885 93180 103710 124452 139770 155565 207420 215867 279540 311130 431734 480523 622260 647601 863468 961046 1079335 1295202 1441569 1922092 1942803 2158670 2402615 2590404 2883138 3238005 3885606 4317340 4324707 4805230 5368721 5766276 6476010 7207845 7771212 8649414 9610460 9714015 10737442 12952020 14415690 16106163 17298828 19428030 21474884 21623535 26843605 28831380 32212326 38856060 43247070 48318489 53687210 64424652 80530815 86494140 96636978 107374420 161061630 193273956 241592445 322123260 483184890 746252219 966369780 1492504438 2238756657 2985008876 3731261095 4477513314 6716269971 7462522190 8955026628 11193783285 13432539942 14925044380 22387566570 26865079884 33581349855 44775133140 67162699710 134325399420