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134391200 = 2552315419
BaseRepresentation
bin10000000001010…
…10010110100000
3100100212210001212
420000222112200
5233401004300
621200245252
73221210036
oct1000522640
9310783055
10134391200
1169951109
1239010828
1321ac5428
1413bc4556
15bbe9935
hex802a5a0

134391200 has 72 divisors (see below), whose sum is σ = 338728320. Its totient is φ = 52012800.

The previous prime is 134391149. The next prime is 134391217. The reversal of 134391200 is 2193431.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22091 + ... + 27509.

It is an arithmetic number, because the mean of its divisors is an integer number (4704560).

Almost surely, 2134391200 is an apocalyptic number.

134391200 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 134391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169364160).

134391200 is an abundant number, since it is smaller than the sum of its proper divisors (204337120).

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

134391200 is a wasteful number, since it uses less digits than its factorization.

134391200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 134391200 is about 11592.7218546811. The cubic root of 134391200 is about 512.2204860916.

The spelling of 134391200 in words is "one hundred thirty-four million, three hundred ninety-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 5419 6200 10838 12400 21676 24800 27095 43352 54190 86704 108380 135475 167989 173408 216760 270950 335978 433520 541900 671956 839945 867040 1083800 1343912 1679890 2167600 2687824 3359780 4199725 4335200 5375648 6719560 8399450 13439120 16798900 26878240 33597800 67195600 134391200