Search a number
-
+
134951616 = 2633292693
BaseRepresentation
bin10000000101100…
…11001011000000
3100101221020211000
420002303023000
5234021422431
621220252000
73226032642
oct1002631300
9311836730
10134951616
116a1a4168
1239241000
1321c60537
1413ccc892
15bcaa9e6
hex80b32c0

134951616 has 112 divisors (see below), whose sum is σ = 410565600. Its totient is φ = 43416576.

The previous prime is 134951611. The next prime is 134951639. The reversal of 134951616 is 616159431.

134951616 is a `hidden beast` number, since 1 + 3 + 495 + 161 + 6 = 666.

It is a super-2 number, since 2×1349516162 = 36423877322022912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134951611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48766 + ... + 51458.

Almost surely, 2134951616 is an apocalyptic number.

134951616 is a gapful number since it is divisible by the number (16) 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 134951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205282800).

134951616 is an abundant number, since it is smaller than the sum of its proper divisors (275613984).

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

134951616 is a wasteful number, since it uses less digits than its factorization.

134951616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2727 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 134951616 is about 11616.8677361843. The cubic root of 134951616 is about 512.9314911420.

The spelling of 134951616 in words is "one hundred thirty-four million, nine hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2693 2784 3132 4176 5386 5568 6264 8079 8352 10772 12528 16158 16704 21544 24237 25056 32316 43088 48474 50112 64632 72711 78097 86176 96948 129264 145422 156194 172352 193896 234291 258528 290844 312388 387792 468582 517056 581688 624776 702873 775584 937164 1163376 1249552 1405746 1551168 1874328 2108619 2326752 2499104 2811492 3748656 4217238 4653504 4998208 5622984 7497312 8434476 11245968 14994624 16868952 22491936 33737904 44983872 67475808 134951616