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134358400 = 2752112347
BaseRepresentation
bin10000000001000…
…10010110000000
3100100211010002001
420000202112000
5233343432100
621155433344
73221012311
oct1000422600
9310733061
10134358400
1169929500
1238bb5854
1321ab3517
1413bb6608
15bbded6a
hex8022580

134358400 has 144 divisors (see below), whose sum is σ = 365875020. Its totient is φ = 48716800.

The previous prime is 134358379. The next prime is 134358403. The reversal of 134358400 is 4853431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134358403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387027 + ... + 387373.

Almost surely, 2134358400 is an apocalyptic number.

134358400 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 134358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182937510).

134358400 is an abundant number, since it is smaller than the sum of its proper divisors (231516620).

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

134358400 is a wasteful number, since it uses less digits than its factorization.

134358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 134358400 is about 11591.3070876412. The cubic root of 134358400 is about 512.1788112425.

The spelling of 134358400 in words is "one hundred thirty-four million, three hundred fifty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 128 160 176 200 220 242 275 320 347 352 400 440 484 550 605 640 694 704 800 880 968 1100 1210 1388 1408 1600 1735 1760 1936 2200 2420 2776 3025 3200 3470 3520 3817 3872 4400 4840 5552 6050 6940 7040 7634 7744 8675 8800 9680 11104 12100 13880 15268 15488 17350 17600 19085 19360 22208 24200 27760 30536 34700 35200 38170 38720 41987 44416 48400 55520 61072 69400 76340 77440 83974 95425 96800 111040 122144 138800 152680 167948 190850 193600 209935 222080 244288 277600 305360 335896 381700 387200 419870 488576 555200 610720 671792 763400 839740 1049675 1110400 1221440 1343584 1526800 1679480 2099350 2442880 2687168 3053600 3358960 4198700 5374336 6107200 6717920 8397400 12214400 13435840 16794800 26871680 33589600 67179200 134358400