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134105052232400 = 245214915231477403
BaseRepresentation
bin11110011111011111000100…
…000000000011101011010000
3122120211022120200000022220012
4132133133010000003223100
5120034134121332414100
61153115002133534052
740150525132023614
oct3637370400035320
9576738520008805
10134105052232400
11398036a6967977
121305a55a7a4328
1359aa08a7a9482
142518a0d539344
1510785a80b1135
hex79f7c4003ad0

134105052232400 has 120 divisors (see below), whose sum is σ = 324562906778400. Its totient is φ = 53246986385920.

The previous prime is 134105052232397. The next prime is 134105052232421. The reversal of 134105052232400 is 4232250501431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90032099 + ... + 91509501.

It is an arithmetic number, because the mean of its divisors is an integer number (2704690889820).

Almost surely, 2134105052232400 is an apocalyptic number.

134105052232400 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 134105052232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162281453389200).

134105052232400 is an abundant number, since it is smaller than the sum of its proper divisors (190457854546000).

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

134105052232400 is a wasteful number, since it uses less digits than its factorization.

134105052232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479093 (or 1479082 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 134105052232400 in words is "one hundred thirty-four trillion, one hundred five billion, fifty-two million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 1523 2384 2980 3046 3725 5960 6092 7450 7615 11920 12184 14900 15230 24368 29800 30460 38075 59600 60920 76150 121840 152300 226927 304600 453854 609200 907708 1134635 1477403 1815416 2269270 2954806 3630832 4538540 5673175 5909612 7387015 9077080 11346350 11819224 14774030 18154160 22692700 23638448 29548060 36935075 45385400 59096120 73870150 90770800 118192240 147740300 220133047 295480600 440266094 590961200 880532188 1100665235 1761064376 2201330470 2250084769 3522128752 4402660940 4500169538 5503326175 8805321880 9000339076 11006652350 11250423845 17610643760 18000678152 22013304700 22500847690 36001356304 44026609400 45001695380 56252119225 88053218800 90003390760 112504238450 180006781520 225008476900 335262630581 450016953800 670525261162 900033907600 1341050522324 1676313152905 2682101044648 3352626305810 5364202089296 6705252611620 8381565764525 13410505223240 16763131529050 26821010446480 33526263058100 67052526116200 134105052232400