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134631200 = 25521115299
BaseRepresentation
bin10000000011001…
…00111100100000
3100101022222021202
420001210330200
5233431144300
621205340332
73223226534
oct1001447440
9311288252
10134631200
1169aa5460
12391076a8
1321b7a742
1413c47bc4
15bc45ad5
hex8064f20

134631200 has 72 divisors (see below), whose sum is σ = 358570800. Its totient is φ = 48953600.

The previous prime is 134631187. The next prime is 134631221. The reversal of 134631200 is 2136431.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1151 + ... + 16449.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2134631200 is an apocalyptic number.

134631200 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 134631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179285400).

134631200 is an abundant number, since it is smaller than the sum of its proper divisors (223939600).

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

134631200 is a wasteful number, since it uses less digits than its factorization.

134631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330 (or 15317 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 134631200 is about 11603.0685596527. The cubic root of 134631200 is about 512.5252178747.

Adding to 134631200 its reverse (2136431), we get a palindrome (136767631).

The spelling of 134631200 in words is "one hundred thirty-four million, six hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 15299 30598 61196 76495 122392 152990 168289 244784 305980 336578 382475 489568 611960 673156 764950 841445 1223920 1346312 1529900 1682890 2447840 2692624 3059800 3365780 4207225 5385248 6119600 6731560 8414450 12239200 13463120 16828900 26926240 33657800 67315600 134631200