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134636920 = 235111571949
BaseRepresentation
bin10000000011001…
…10010101111000
3100101100021010121
420001212111320
5233431340140
621205423024
73223252315
oct1001462570
9311307117
10134636920
1169aa9790
123910aa74
1321b80222
1413c49d0c
15bc4764a
hex8066578

134636920 has 64 divisors (see below), whose sum is σ = 332748000. Its totient is φ = 48622080.

The previous prime is 134636899. The next prime is 134636933. The reversal of 134636920 is 29636431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68106 + ... + 70054.

Almost surely, 2134636920 is an apocalyptic number.

134636920 is a gapful number since it is divisible by the number (10) 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 134636920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166374000).

134636920 is an abundant number, since it is smaller than the sum of its proper divisors (198111080).

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

134636920 is a wasteful number, since it uses less digits than its factorization.

134636920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 134636920 is about 11603.3150435554. The cubic root of 134636920 is about 512.5324762287.

The spelling of 134636920 in words is "one hundred thirty-four million, six hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 1949 3140 3454 3898 6280 6908 7796 8635 9745 13816 15592 17270 19490 21439 34540 38980 42878 69080 77960 85756 107195 171512 214390 305993 428780 611986 857560 1223972 1529965 2447944 3059930 3365923 6119860 6731846 12239720 13463692 16829615 26927384 33659230 67318460 134636920