Search a number
-
+
134451792 = 2433417591
BaseRepresentation
bin10000000001110…
…01001001010000
3100100222212012000
420000321021100
5233404424132
621201434000
73221551506
oct1000711120
9310885160
10134451792
1169992692
123903b900
1321b16b97
1413bdc676
15bc0c87c
hex8039250

134451792 has 80 divisors (see below), whose sum is σ = 395391360. Its totient is φ = 43718400.

The previous prime is 134451787. The next prime is 134451799. The reversal of 134451792 is 297154431.

134451792 is a `hidden beast` number, since 13 + 44 + 517 + 92 = 666.

It is a super-2 number, since 2×1344517922 = 36154568744022528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134451799) 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, 13917 + ... + 21507.

It is an arithmetic number, because the mean of its divisors is an integer number (4942392).

Almost surely, 2134451792 is an apocalyptic number.

134451792 is a gapful number since it is divisible by the number (12) 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 134451792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197695680).

134451792 is an abundant number, since it is smaller than the sum of its proper divisors (260939568).

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

134451792 is a wasteful number, since it uses less digits than its factorization.

134451792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7637 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 134451792 is about 11595.3349240115. The cubic root of 134451792 is about 512.2974549221.

The spelling of 134451792 in words is "one hundred thirty-four million, four hundred fifty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 7591 8856 15182 17712 22773 30364 45546 60728 68319 91092 121456 136638 182184 204957 273276 311231 364368 409914 546552 622462 819828 933693 1093104 1244924 1639656 1867386 2489848 2801079 3279312 3734772 4979696 5602158 7469544 8403237 11204316 14939088 16806474 22408632 33612948 44817264 67225896 134451792