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135164848 = 24713237193
BaseRepresentation
bin10000000111001…
…11001110110000
3100102100002022111
420003213032300
5234100233343
621225015104
73230611420
oct1003471660
9312302274
10135164848
116a32a395
1239324494
1322006600
1413d46480
15bcedc9d
hex80e73b0

135164848 has 120 divisors (see below), whose sum is σ = 334570848. Its totient is φ = 51757056.

The previous prime is 135164839. The next prime is 135164857. The reversal of 135164848 is 848461531.

It is an interprime number because it is at equal distance from previous prime (135164839) and next prime (135164857).

It is a super-2 number, since 2×1351648482 = 36539072269726208, which contains 22 as substring.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 135164848.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700240 + ... + 700432.

Almost surely, 2135164848 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 135164848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167285424).

135164848 is an abundant number, since it is smaller than the sum of its proper divisors (199406000).

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

135164848 is a wasteful number, since it uses less digits than its factorization.

135164848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 135164848 is about 11626.0418027805. The cubic root of 135164848 is about 513.2015036000.

The spelling of 135164848 in words is "one hundred thirty-five million, one hundred sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 169 182 193 208 259 296 338 364 386 481 518 592 676 728 772 962 1036 1183 1351 1352 1456 1544 1924 2072 2366 2509 2702 2704 3088 3367 3848 4144 4732 5018 5404 6253 6734 7141 7696 9464 10036 10808 12506 13468 14282 17563 18928 20072 21616 25012 26936 28564 32617 35126 40144 43771 49987 50024 53872 57128 65234 70252 87542 92833 99974 100048 114256 130468 140504 175084 185666 199948 228319 260936 281008 350168 371332 399896 456638 521872 649831 700336 742664 799792 913276 1206829 1299662 1485328 1826552 2413658 2599324 3653104 4827316 5198648 8447803 9654632 10397296 16895606 19309264 33791212 67582424 135164848