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134050176 = 2732138951
BaseRepresentation
bin1111111110101…
…11000110000000
3100100020110021100
413333113012000
5233304101201
621145054400
73215256561
oct777270600
9310213240
10134050176
1169738977
1238a87400
1321a06140
1413b36168
15bb7d886
hex7fd7180

134050176 has 96 divisors (see below), whose sum is σ = 415462320. Its totient is φ = 41241600.

The previous prime is 134050121. The next prime is 134050177. The reversal of 134050176 is 671050431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134050177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10501 + ... + 19451.

Almost surely, 2134050176 is an apocalyptic number.

134050176 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 134050176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207731160).

134050176 is an abundant number, since it is smaller than the sum of its proper divisors (281412144).

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

134050176 is a wasteful number, since it uses less digits than its factorization.

134050176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 134050176 is about 11578.0039730517. The cubic root of 134050176 is about 511.7868578973.

The spelling of 134050176 in words is "one hundred thirty-four million, fifty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 8951 14976 17902 26853 35804 53706 71608 80559 107412 116363 143216 161118 214824 232726 286432 322236 349089 429648 465452 572864 644472 698178 859296 930904 1047267 1145728 1288944 1396356 1718592 1861808 2094534 2577888 2792712 3437184 3723616 4189068 5155776 5585424 7447232 8378136 10311552 11170848 14894464 16756272 22341696 33512544 44683392 67025088 134050176