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134202054400 = 2852113185567
BaseRepresentation
bin111110011111100010…
…0001101011100000000
3110211101202211201121021
41330333010031130000
54144321211220100
6141352423435224
712460436432551
oct1747704153400
9424352751537
10134202054400
1151a07619867
1222013bb5b14
13c86961c65b
1466d15b8328
153756beba1a
hex1f3f10d700

134202054400 has 108 divisors (see below), whose sum is σ = 335112426432. Its totient is φ = 53205483520.

The previous prime is 134202054397. The next prime is 134202054407. The reversal of 134202054400 is 4450202431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134202054407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630417 + ... + 815983.

Almost surely, 2134202054400 is an apocalyptic number.

134202054400 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 134202054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167556213216).

134202054400 is an abundant number, since it is smaller than the sum of its proper divisors (200910372032).

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

134202054400 is a wasteful number, since it uses less digits than its factorization.

134202054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185706 (or 185687 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 134202054400 its reverse (4450202431), we get a palindrome (138652256831).

The spelling of 134202054400 in words is "one hundred thirty-four billion, two hundred two million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 128 160 200 226 256 320 400 452 565 640 800 904 1130 1280 1600 1808 2260 2825 3200 3616 4520 5650 6400 7232 9040 11300 14464 18080 22600 28928 36160 45200 72320 90400 144640 180800 185567 361600 371134 723200 742268 927835 1484536 1855670 2969072 3711340 4639175 5938144 7422680 9278350 11876288 14845360 18556700 20969071 23752576 29690720 37113400 41938142 47505152 59381440 74226800 83876284 104845355 118762880 148453600 167752568 209690710 237525760 296907200 335505136 419381420 524226775 593814400 671010272 838762840 1048453550 1187628800 1342020544 1677525680 2096907100 2684041088 3355051360 4193814200 5368082176 6710102720 8387628400 13420205440 16775256800 26840410880 33550513600 67101027200 134202054400