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134114792 = 23729269307
BaseRepresentation
bin1111111111001…
…10110111101000
3100100100201220112
413333212313220
5233313133132
621150313452
73215646140
oct777466750
9310321815
10134114792
1169782479
1238ab8888
1321a29686
1413b51920
15bb92ab2
hex7fe6de8

134114792 has 64 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 55109376.

The previous prime is 134114789. The next prime is 134114801. The reversal of 134114792 is 297411431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436703 + ... + 437009.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2134114792 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 134114792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688000).

134114792 is an abundant number, since it is smaller than the sum of its proper divisors (165261208).

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

134114792 is a wasteful number, since it uses less digits than its factorization.

134114792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 134114792 is about 11580.7941005788. The cubic root of 134114792 is about 511.8690766319.

The spelling of 134114792 in words is "one hundred thirty-four million, one hundred fourteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 269 307 406 538 614 812 1076 1228 1624 1883 2149 2152 2456 3766 4298 7532 7801 8596 8903 15064 15602 17192 17806 31204 35612 54607 62321 62408 71224 82583 109214 124642 165166 218428 249284 330332 436856 498568 578081 660664 1156162 2312324 2394907 4624648 4789814 9579628 16764349 19159256 33528698 67057396 134114792