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134718064 = 241317311229
BaseRepresentation
bin10000000011110…
…10001001110000
3100101111101102221
420001322021300
5233441434224
621211250424
73224041015
oct1001721160
9311441387
10134718064
116a054748
1239149a14
1321bab140
1413c6b70c
15bc616e4
hex807a270

134718064 has 80 divisors (see below), whose sum is σ = 307480320. Its totient is φ = 56586240.

The previous prime is 134718043. The next prime is 134718071. The reversal of 134718064 is 460817431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109002 + ... + 110230.

It is an arithmetic number, because the mean of its divisors is an integer number (3843504).

Almost surely, 2134718064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134718064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160).

134718064 is an abundant number, since it is smaller than the sum of its proper divisors (172762256).

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

134718064 is a wasteful number, since it uses less digits than its factorization.

134718064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 134718064 is about 11606.8111038304. The cubic root of 134718064 is about 512.6354212035.

The spelling of 134718064 in words is "one hundred thirty-four million, seven hundred eighteen thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 31 34 52 62 68 104 124 136 208 221 248 272 403 442 496 527 806 884 1054 1229 1612 1768 2108 2458 3224 3536 4216 4916 6448 6851 8432 9832 13702 15977 19664 20893 27404 31954 38099 41786 54808 63908 76198 83572 109616 127816 152396 167144 255632 271609 304792 334288 495287 543218 609584 647683 990574 1086436 1295366 1981148 2172872 2590732 3962296 4345744 5181464 7924592 8419879 10362928 16839758 33679516 67359032 134718064