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134778384 = 243313103233
BaseRepresentation
bin10000000100010…
…00111000010000
3100101121110012000
420002020320100
5234000402014
621212434000
73224411616
oct1002107020
9311543160
10134778384
116a095aa4
1239178900
1321bcc730
1413c856b6
15bc74509
hex8088e10

134778384 has 160 divisors (see below), whose sum is σ = 422472960. Its totient is φ = 40891392.

The previous prime is 134778379. The next prime is 134778389. The reversal of 134778384 is 483877431.

It is an interprime number because it is at equal distance from previous prime (134778379) and next prime (134778389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134778389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578332 + ... + 578564.

It is an arithmetic number, because the mean of its divisors is an integer number (2640456).

Almost surely, 2134778384 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 134778384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211236480).

134778384 is an abundant number, since it is smaller than the sum of its proper divisors (287694576).

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

134778384 is a wasteful number, since it uses less digits than its factorization.

134778384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 134778384 is about 11609.4092872980. The cubic root of 134778384 is about 512.7119206070.

The spelling of 134778384 in words is "one hundred thirty-four million, seven hundred seventy-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 103 104 108 117 144 156 206 208 216 233 234 309 312 351 412 432 466 468 618 624 699 702 824 927 932 936 1236 1339 1398 1404 1648 1854 1864 1872 2097 2472 2678 2781 2796 2808 3029 3708 3728 4017 4194 4944 5356 5562 5592 5616 6058 6291 7416 8034 8388 9087 10712 11124 11184 12051 12116 12582 14832 16068 16776 18174 21424 22248 23999 24102 24232 25164 27261 32136 33552 36153 36348 44496 47998 48204 48464 50328 54522 64272 71997 72306 72696 81783 95996 96408 100656 109044 143994 144612 145392 163566 191992 192816 215991 218088 287988 289224 311987 327132 383984 431982 436176 575976 578448 623974 647973 654264 863964 935961 1151952 1247948 1295946 1308528 1727928 1871922 2495896 2591892 2807883 3455856 3743844 4991792 5183784 5615766 7487688 8423649 10367568 11231532 14975376 16847298 22463064 33694596 44926128 67389192 134778384