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134541792 = 25327116067
BaseRepresentation
bin10000000010011…
…11000111100000
3100101011102122100
420001033013200
5233420314132
621203410400
73222405060
oct1001170740
9311142570
10134541792
1169a44270
1239083a00
1321b48b38
1413c233a0
15bc2937c
hex804f1e0

134541792 has 144 divisors (see below), whose sum is σ = 477090432. Its totient is φ = 34940160.

The previous prime is 134541769. The next prime is 134541811. The reversal of 134541792 is 297145431.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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, 19143 + ... + 25209.

It is an arithmetic number, because the mean of its divisors is an integer number (3313128).

Almost surely, 2134541792 is an apocalyptic number.

134541792 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 134541792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238545216).

134541792 is an abundant number, since it is smaller than the sum of its proper divisors (342548640).

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

134541792 is a wasteful number, since it uses less digits than its factorization.

134541792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6101 (or 6090 counting only the distinct ones).

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

The square root of 134541792 is about 11599.2151458622. The cubic root of 134541792 is about 512.4117374872.

The spelling of 134541792 in words is "one hundred thirty-four million, five hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 6067 7392 11088 12134 18201 22176 24268 36402 42469 48536 54603 66737 72804 84938 97072 109206 127407 133474 145608 169876 194144 200211 218412 254814 266948 291216 339752 382221 400422 436824 467159 509628 533896 582432 600633 679504 764442 800844 873648 934318 1019256 1067792 1201266 1359008 1401477 1528884 1601688 1747296 1868636 2038512 2135584 2402532 2802954 3057768 3203376 3737272 4077024 4204431 4805064 5605908 6115536 6406752 7474544 8408862 9610128 11211816 12231072 14949088 16817724 19220256 22423632 33635448 44847264 67270896 134541792