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134761104 = 2433378431
BaseRepresentation
bin10000000100001…
…00101010010000
3100101120120111000
420002010222100
5233444323404
621212222000
73224310342
oct1002045220
9311516430
10134761104
116a084015
123916a900
1321bc48ca
1413c7d292
15bc6e339
hex8084a90

134761104 has 80 divisors (see below), whose sum is σ = 397315840. Its totient is φ = 43701120.

The previous prime is 134761103. The next prime is 134761157. The reversal of 134761104 is 401167431.

It is a happy number.

134761104 is a `hidden beast` number, since 1 + 3 + 47 + 611 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134761103) 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 15 ways as a sum of consecutive naturals, for example, 11769 + ... + 20199.

It is an arithmetic number, because the mean of its divisors is an integer number (4966448).

Almost surely, 2134761104 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 134761104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198657920).

134761104 is an abundant number, since it is smaller than the sum of its proper divisors (262554736).

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

134761104 is a wasteful number, since it uses less digits than its factorization.

134761104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 134761104 is about 11608.6650395297. The cubic root of 134761104 is about 512.6900079917.

The spelling of 134761104 in words is "one hundred thirty-four million, seven hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 7992 8431 15984 16862 25293 33724 50586 67448 75879 101172 134896 151758 202344 227637 303516 311947 404688 455274 607032 623894 910548 935841 1214064 1247788 1821096 1871682 2495576 2807523 3642192 3743364 4991152 5615046 7486728 8422569 11230092 14973456 16845138 22460184 33690276 44920368 67380552 134761104