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134780544 = 273359661
BaseRepresentation
bin10000000100010…
…01011010000000
3100101121120011000
420002021122000
5234000434134
621212452000
73224421123
oct1002113200
9311546130
10134780544
116a097688
123917a000
1321c00702
1413c863ba
15bc74e99
hex8089680

134780544 has 128 divisors (see below), whose sum is σ = 405144000. Its totient is φ = 44098560.

The previous prime is 134780543. The next prime is 134780549. The reversal of 134780544 is 445087431.

134780544 is a `hidden beast` number, since 1 + 34 + 7 + 80 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 134780499 and 134780508.

It is not an unprimeable number, because it can be changed into a prime (134780543) 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, 203574 + ... + 204234.

Almost surely, 2134780544 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 134780544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202572000).

134780544 is an abundant number, since it is smaller than the sum of its proper divisors (270363456).

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

134780544 is an equidigital number, since it uses as much as digits as its factorization.

134780544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 134780544 is about 11609.5023149143. The cubic root of 134780544 is about 512.7146595523.

The spelling of 134780544 in words is "one hundred thirty-four million, seven hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 128 144 177 192 216 236 288 354 384 432 472 531 576 661 708 864 944 1062 1152 1322 1416 1593 1728 1888 1983 2124 2644 2832 3186 3456 3776 3966 4248 5288 5664 5949 6372 7552 7932 8496 10576 11328 11898 12744 15864 16992 17847 21152 22656 23796 25488 31728 33984 35694 38999 42304 47592 50976 63456 67968 71388 77998 84608 95184 101952 116997 126912 142776 155996 190368 203904 233994 253824 285552 311992 350991 380736 467988 571104 623984 701982 761472 935976 1052973 1142208 1247968 1403964 1871952 2105946 2284416 2495936 2807928 3743904 4211892 4991872 5615856 7487808 8423784 11231712 14975616 16847568 22463424 33695136 44926848 67390272 134780544