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134018528 = 2572127673
BaseRepresentation
bin1111111110011…
…11010111100000
3100100011211212012
413333033113200
5233302043103
621144252052
73215065400
oct777172740
9310154765
10134018528
1169717116
1238a71028
13219c4907
1413b28800
15bb742d8
hex7fcf5e0

134018528 has 72 divisors (see below), whose sum is σ = 309802752. Its totient is φ = 56899584.

The previous prime is 134018519. The next prime is 134018537. The reversal of 134018528 is 825810431.

It is an interprime number because it is at equal distance from previous prime (134018519) and next prime (134018537).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 134018494 and 134018503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198800 + ... + 199472.

It is an arithmetic number, because the mean of its divisors is an integer number (4302816).

Almost surely, 2134018528 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 134018528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154901376).

134018528 is an abundant number, since it is smaller than the sum of its proper divisors (175784224).

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

134018528 is a wasteful number, since it uses less digits than its factorization.

134018528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 134018528 is about 11576.6371628379. The cubic root of 134018528 is about 511.7465786880.

Adding to 134018528 its reverse (825810431), we get a palindrome (959828959).

The spelling of 134018528 in words is "one hundred thirty-four million, eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 127 196 224 254 392 508 673 784 889 1016 1346 1568 1778 2032 2692 3556 4064 4711 5384 6223 7112 9422 10768 12446 14224 18844 21536 24892 28448 32977 37688 49784 65954 75376 85471 99568 131908 150752 170942 199136 263816 341884 527632 598297 683768 1055264 1196594 1367536 2393188 2735072 4188079 4786376 8376158 9572752 16752316 19145504 33504632 67009264 134018528